What is the diameter of a hemisphere with a volume of
62617
cm
3
,
62617 cm

What Is The Diameter Of A Hemisphere With A Volume Of 62617 Cm3,62617 Cm

Answers

Answer 1

Answer:

Step-by-step explanation:

Hemisphere Volume = (2/3) * PI * radius^3

sphere radius^3 = Hemisphere Volume / ((2/3) PI)

sphere radius^3 = 62,617 / 2.0943951024

sphere radius^3 = 29,897.4152147556

sphere radius = 31.0368674154

sphere diameter = 62.1 cm (rounded to nearest tenth of a centimeters)

Answer 2

Answer:

62.1

Step-by-step explanation:

→ Set up an equation

[tex]\frac{2}{3}[/tex]  × π × r³ = 62617

→ Divide both sides by π

[tex]\frac{2}{3}[/tex]  × r³ = 19931.61014

→ Divide both sides by  [tex]\frac{2}{3}[/tex]

r³ = 29897.41521

→ Cube root both sides

r = 31.03686742

→ Double the answer to find the diameter

31.03686742 × 2 = 62.1


Related Questions

there are 65 children going to the zoo. each minivan can hold 7 children. how many minivans will be needed?

Answers

Answer:

10

Step-by-step explanation:

I used a calculator

PLEASE HELP

Solve the equation for y. Identify the slope and y-intercept then graph the equation.

2y-3x=10

Y=
M=
B=

Please Include a picture of the graph and show your work if you can

Answers

Hey there! I'm happy to help!

Here is our equation.

[tex]2y-3x=10[/tex]

Let's add 3x to both sides.

[tex]2y=3x+10[/tex]

Divide both sides by 2.

[tex]y=\frac{3}{2}x+5[/tex]

Here is slope intercept form.

[tex]y=mx+b\\m=slope\\b=y-intercept[/tex]

So, we can just find those two things in the equation, and here are our answers.

[tex]y=\frac{3}{2}x+5\\m=\frac{3}{2}\\b=5[/tex]

The graph is down below. If our y-intercept is 5, then one of our points is (0,5). You can then plug a random x-value into the formula to find another point and then draw the line going through the two points.

[tex]y=\frac{3}{2}(2)+5\\y=3+5\\y=8\\(2,8)[/tex]

Have a wonderful day and keep on learning! :D

Which of the following is a like radical to ^3sqrt7x?
A. 4(^3sqrt7x)
B. sqrt7x
C. x (3sqrt7)
D. 7sqrtx

Answers

Answer:

A   and B

Step-by-step explanation:

Write and solve a word problem involving a $145.00 price and a 5.5% sales tax.

Answers

Your question is not complete but I guess you want to know the total price to be paid. This will be:

= $145 + (5.5% × $145)

= $145 + (0.055 × $145)

= $145 + $7.975

= $152.975

the value of M such that 3 3 M + 3 = 9 M + 4​

Answers

Step-by-step explanation:

If you like my answer than please mark me brainliest

[tex]\\ \sf\longmapsto 33M+3=9M+4[/tex]

Interchange sides

[tex]\\ \sf\longmapsto 33M-9M=4-3[/tex]

[tex]\\ \sf\longmapsto (33-9)M=1[/tex]

[tex]\\ \sf\longmapsto 24M=1[/tex]

[tex]\\ \sf\longmapsto M=\dfrac{1}{24}[/tex]

Angles 1 and 2 form a linear pair and the measure of angle two is 22 more than 4 times of the measure of angle 1. What degrees is angle 2

Answers

Answer:

m<2= 148.4

Step-by-step explanation:

A linear pair means that both angles add to 180.

m<2 = 4*m<1 +22

Together

m1 + m2 = 180

Put the value for m<2 into the above equation

m<1  + 4*m<1 + 22 = 180         Combine like terms\

5m<1 + 22 = 180                      Subtract 22

5m<1 = 180 - 22

5m<1 = 158                              Divide by 5

m<1 = 158/5

m<1 = 31.6

m<2 = 4*31.6 + 22

m<2 = 138.4

Geometry! ZK, ZL, ZM are perpendicular bisectors of AGHJ. Select two options that are true.please I need help I don’t get it!!!!

Answers

Answer:

Answer B and C

Step-by-step explanation:

Z is the center of the circle passing through H,G,J:

HZ=85=ZG=ZJ ==> ZJ=85 : B is true

HK=KG=136/2=68: C is true.

The two options that are true are ZK = JL and ZL = JM.

The given information is that ZK, ZL, and ZM are perpendicular bisectors of AGHJ. This means that ZK, ZL, and ZM each bisect one of the sides of triangle AGHJ and form a right angle with that side.

In triangle AGJ, ZK is the perpendicular bisector of AG, so ZK = JL.

In triangle AHJ, ZL is the perpendicular bisector of AH, so ZL = JM.

The other two options are not true. ZK = GH is not true because ZK is the perpendicular bisector of AG, not GH. ZM = MG is not true because ZM is the perpendicular bisector of AH, not MG.

To learn more about perpendicular bisectors, here

https://brainly.com/question/24753075

#SPJ2

Please help!!! On my hw

Answers

Answer:

c(X)=R(X)

125x+18000=215x

18000=215x-125x

18000=90x (divede both sides by 90)

X=200

7(a-1)=45 what is the answer to that equation????

Answers

Answer: a = 52/7

Step-by-step explanation:

remove the parentheses, move the constant to the right, calculate, then divide both sides

Answer:

The answer is, a = 52/7, or a = 7.42 in decimal form

Follow the steps below for better explanation:

There is only 3/4 cup of ice cream left. If 3 friends share the ice cream equally, how much ice cream will they each get?

Answers

Answer:

1/4 cup each

Step-by-step explanation:

Take the amount of ice cream and divide by 3

3/4÷ 3

Copy dot flip

3/4 * 1/3

Rewriting

3/3 * 1/4

1/4 cup each

Solve each system by graphing.

Answers

Answer:

it is 2 te he

Step-by-step explanation:

ONCE THE 5 6 = 7 10 .. ?% =1 x 7 =2 te he

What is the domain of the function represented by the graph

Answers

Answer:

C

Step-by-step explanation:

Domain of the function is the whole R

Find 900 ÷ 90.
plz help

Answers

Answer:

the answer is 10

Step-by-step explanation:

900 ÷ 90

=> 10 [tex]\sf{}[/tex]

Answer:

The answer is 10.

Step-by-step explanation:

900/90=cut 0 of numerator and denominator then 90 divide by 9 is 10.

Please help me! Thank you!
Find the length of BC
A. 27.22
B. 11.62
C. 22.02
D. 19.78

Answers

Answer:

B

Step-by-step explanation:

Since we know the measure of ∠B and the side opposite to ∠B and we want to find BC, which is adjacent to ∠B, we can use the tangent ratio. Recall that:

[tex]\displaystyle \tan\theta = \frac{\text{opposite}}{\text{adjacent}}[/tex]

The angle is 54°, the opposite side measures 16 units, and the adjacent side is BC. Substitute:

[tex]\displaystyle \tan 54^\circ = \frac{16}{BC}[/tex]

Solve for BC. We can take the reciprocal of both sides:

[tex]\displaystyle \frac{1}{\tan 54^\circ} = \frac{BC}{16}[/tex]

Multiply:

[tex]\displaystyle BC = \frac{16}{\tan 54^\circ}[/tex]

Use a calculator. Hence:

[tex]\displaystyle BC \approx 11 .62\text{ units}[/tex]

BC measures approximately 11.62 units.

Our answer is B.

Karissa purchased a set of LED lights online that normally sells for $72.00 but was marked down to $48.96. What is the discount rate Karissa received? (2 points)
32%
47%
68%

Answers

47 % because it didn’t go down as much as the other ones would be

Suppose that 17 inches of wire costs 68 cents,
At the same rate, how much (in cents) will 39 inches of wire cost?
cents
?

Answers

Cost of 17 inches of wire = 68 cents

Cost of 1 inch of wire

= 68 cents/17

= 4 cents

Cost of 39 inches of wire

= 4 cents × 39

= 156 cents

= $1.56

Answer:

17 inches of wire costs 68 cents,

Step-by-step explanation:

x=234

b=456

Choose the correct simplification of the expression (a^3/b^7)^2

Answers

Answer:

(a^3/b^7)^2 = (a^6/b^14)

Jan has an investment account which compounds interest annually at a rate of 1.9%. After 5 years, she has $8320 in the
account. How much money did she initially place in the account? Round your answer to the nearest whole number. Do not
include a s in your answer.
Provide your answer below:

Answers

The answer is 7573
Explanation:
8320= P(1+0.019)^5
8320=1.09867924P
P=8320/1.09867924
P=7572.72887
P=7573

Task: Population of a Species

The population of a species in the wild in Asia has been decreasing exponentially since 1980. This function represents the wild population of the species t years after 1980: W(t)=20000(0.95)t.

The Wildlife Refuge Foundation noticed this trend before 1980
and decided to try to help reduce the population decline by
breeding the species in captivity. The graph shows the number
of these animals that have been born in captivity since 1980.

(Note: The function W(t) and the graph are not the same function!)

[15 points] Use the graph to create a function to represent the number of the species that have been born in captivity, C(t).

Answers

Answer:

C(t) = 20t

Step-by-step explanation:

The graph of C(t) appears to be linear

The y intercept is 0

The slope is 200/10 = 20

y = mx+b  where m is the slope and b is the y intercept

y = 20x+0

y = 20x

C(t) = 20t

Answer:

the answer is c (t) = 20 t

Step-by-step explanation:

[tex]\sf{}[/tex]

:,-)

♛┈⛧┈┈•༶♛┈⛧┈┈•༶

Factorize:
625a^4 + 4b^4​

Answers

(625 • (a4)) + 22b4

54a4 + 22b4

Final result :

625a4 + 4b4

pls help! I need the answer quickly! thank you!

Answers

The perimeter of a triangle is the summation of the three sides of the triangle. Base on the assumed values, the length of side BD is 2.

For [tex]\triangle ACD[/tex], the sides are: AC, AD and CD

So, the perimeter is:

[tex]P_{\triangle ACD} = AC + AD + CD[/tex]

For [tex]\triangle ABD[/tex], the sides are: AB, AD and BD

So, the perimeter is:

[tex]P_{\triangle ABD} = AB + AD + BD[/tex]

The difference in the perimeters is:

[tex]P_{\triangle ACD} - P_{\triangle ABD} =1 + \sqrt 3[/tex]

So, we have:

[tex](AC + AD + CD) - ( AB + AD + BD) =1 + \sqrt 3[/tex]

Open brackets

[tex]AC + AD + CD - AB - AD - BD =1 + \sqrt 3[/tex]

Evaluate like terms

[tex]AC + CD - AB - BD =1 + \sqrt 3[/tex]

Make BD the subject

[tex]BD = AC + CD - AB - (1 + \sqrt 3)[/tex]

The solution cannot be completed because the side lengths of [tex]\triangle ACD[/tex] and [tex]\triangle ABD[/tex] are not given; so, I will assume the following values.

[tex]AC =2; CD = 1; AB = \sqrt 3[/tex]

[tex]BD = AC + CD - AB - (1 + \sqrt 3)[/tex] becomes

[tex]BD = 2 + 1 + \sqrt 3 - (1 + \sqrt 3)[/tex]

Open bracket

[tex]BD = 2 + 1 + \sqrt 3 - 1 - \sqrt 3[/tex]

Evaluate like terms

[tex]BD = 2[/tex]

Base on the assumed values, the length of side BD is 2.

Read more about perimeters at:

https://brainly.com/question/6465134

Solve the following equation for the given variable.
4x + 19 + 3x = -5
Round your answers to the nearest tenths place.

Answers

Step-by-step explanation:

4x + 19 + 3x = - 5

4x + 3x + 19 = - 5 collect the like terms

7x + 19 = - 5

7x = - 5 - 19 bring 19 to the right

7x/ 7x = - 24/ 7

x = - 3.4

I hope this answers your question

construct thruth table for each of the following Statement

Answers

Rhonda I just got home from

A 7% acid solution will be mixed with a 15% acid solution. 20 L of a 12% acid solution needs to be made.

a) Use the varialbes defined in part a to create a system of linear equations that models the given situation. SHOW YOUR WORK .

b) How many litres of each solution are needed? SHOW YOUR WORK *

c) Verify the solution. SHOW YOUR WORK *​

Answers

Answer:

see below

Step-by-step explanation:

Let r = amount of the 7% solution

y represent the amount of the 15 percent solution

.07r + .15 y = (r+y) .12

r+y = 20

y = 20-r

.07r + .15 (20-r) = (20) .12

0.07r+0.15(20-r)=2.4

.07r+ 3 - .15r = 2.4

-.08r = 2.4-3

-.08r = -.6

Divide by-.08

r =7.5 Liters of the 7%

y = 20-7.5

y = 12.5 L of 12%

Check

.07 *7.5 + .15 (12.5) =20*.12

.525+1.875=2.4

2.4=2.4

The radius of a circle is increasing at the rate of 0.1 cm/sec. At what rate is the area
increasing at the instance when r=5cm?​

Answers

Answer:

3.1416

Step-by-step explanation:

A=pi*r^2, differentiate with respect to t both sides

dA/dt=2*pi*r*dr/dt

dA/dt=2*pi*5*(0.1)

dA/dt=pi=3.1416 cm^2/sec

Step-by-step explanation:

since the user is listed as beginner, I was wondering, if (while correct) the answer should be based on differentiation (rather advanced topic).

I thought originally this would be about sequences.

and I wondered about the start value.

in any case, here a different view.

the area of a circle is

Ac old = pi × r²

now, r is increasing by 0.1

Ac new = pi×(r+0.1)² = pi×(r² + 0.2r + 0.01) =

= pi×r² + pi×0.2r + pi×0.01 =

= Ac old + pi×0.2r + pi×0.01

so, the increase of the area is

pi×0.2r + pi×0.01

for r=5

pi×0.2×5 + pi×0.01

pi×1 + pi×0.01 = pi + p×0.01 = pi×(1 + 0.01) =

= pi×(1 + (radius change)²)

now, it depends on what your teacher wants to see here.

a "digital stair case" 0.1 by 0.1 increase/sequence approach ?

in this case you might also want to calculate the above with r=4.9 (as only with the last 0.1 step r reaches 5).

and either the r=4.9 (result a tiny bit less than pi) or r=5 (result a tiny bit larger than pi) is correct, of simply the value in the middle (practically pi).

or it was meant to be a continuous increase (not step by step).

in which case we need then to calculate the limit with "radius change" going to 0. which delivers pi as rate result (as with the differentiation).

Write a few sentences to describe the picture below. Can you use the words “slide”, “flip”or “turn”in your description?

Answers

Answer:

Turn

Step-by-step explanation:

you could say that, "No matter which way you turn the image, it stays the same".

hope this helps :D

Find the radius of a circle with a circumference of 36 Inches

Answers

Answer:

r = 18/pi

or approximately 5.7325 inches

Step-by-step explanation:

The circumference is given by

C = 2*pi*r

36 = 2*pi*r

Divide each side by 2 pi

36/(2pi) = r

18/pi = r

Letting pi = 3.14

18/3.14

5.732484076 = r

Find the area.
2 cm
6 cm
4 cm

Answers

Answer:

A=1/2(a+b)h

A=1/2(2cm+4cm)6cm

A=1/2×6cm×6cm

A=18cm²

please help me on this

Answers

Answer:

Median

Step-by-step explanation:

Using the median to measure central tendency, rather than the mean, is better for a skewed data set.

Since a skewed data set will have either very high or low extreme data points, the mean will be less representative and accurate when measuring central tendency.

Using the median will measure this better because it is not as vulnerable as the mean when there are extreme data points.

So, the answer is the median.

The answer is median his is because the mean value is depend on the correct media

I need one quarter liter of milk to make a milkshake. A.How much milk will I need to make 3 milkshakes?. B. How many ml will that be?.​

Answers

Answer:

a: 750 ml (three quarters)

b: 750 ml

Step-by-step explanation:

1/4 liter= 250ml

A) 250*3= 750ml

B) the same as A

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