The formula for the volume
of a cone is V= 1/3 pi r^2h. Write the formula expressed as the radius, r.

Answers

Answer 1

Answer:

[tex]\sqrt{ \frac{{3V\pi } }{h}[/tex] = r

Step-by-step explanation:

V = 1/3 pi r^(2) *h

Rewrite:

V = pi * r^(2) * h/3

Inverse operations:

V / h / 3 = pi * r^2

Simplify:

3V/h = pi * r^2

Inverse operations:

3V/h / pi = r^2

Simplify:

3Vpi/ h = r^2

Inverse operations:

sqrt( 3Vpi/h) = r

[tex]\sqrt{ \frac{{3V\pi } }{h}[/tex] = r


Related Questions

(Ill give brainliest if ya help me :D)


June's flower bed has a length of 8 feet and a width of seven eighths feet. Is the area of the flower bed larger, smaller, or equal to 8 square feet?

A) The area of the flower bed is larger than 8 square feet.
B) The area of the flower bed is smaller than 8 square feet.
C) The area of the flower bed is equal to 10 square feet.
D) The area of the flower bed is equal to 8 square feet.

Answers

Answer:

A) The area of the flower bed is larger than 8 square feet

Step-by-step explanation:

This is the answer, hope it helps!

When graphing on the complex plane, which
quadrant will the complex number10 – 13i be
found in?

Answers

Given :

A complex number z = 10 - 13i .

To Find :

Which  quadrant will the complex number (10 - 13i) be  found.

Solution :

Coefficient of real part of complex number, r = 10.

Coefficient  of imaginary part of complex number, i = -13.

Since, the coefficient of imaginary part is -ve and real part is +ve .

Therefore, the complex number is in 4th quadrant.

Hence, this is the required solution.

When graphing on the complex plane, the complex number will be in the 4th quadrant.

The standard form of expressing complex numbers is expressed z = x + iy

x is the real axis (x-axis on the coordinate point)

y is the imaginary axis (y-axis on the coordinate plane)

Given the complex number z = 10 - 13i, this shows that the imaginary axis is a negative value while the real axis is a positive value.

This shows that when graphing on the complex plane, the complex number will be in the 4th quadrant.

Learn more here: https://brainly.com/question/12375854

Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the coordinate planes and the plane 2x + y + z = 2

Answers

Answer:

[tex]\mathbf{V = \dfrac{2}{3}}[/tex]

Step-by-step explanation:

Consider the tetrahedron enclosed by the coordinate planes and the plane 2x + y + z = 2

Let A be the region obtained by projecting the volume(V) onto the xy-plane.

Similarly, the plane 2x + y + z = 2 intersects with the xy-plane in y = 2 - 2x.

Using the vertical strips, the region A is to the xy-plane can be expressed as:

[tex]A = \{(x,y) | 0 \le x \le 1, 0 \le y \le 2 - 2x\}[/tex]

Thus, the volume of the solid can be calculated as follows;

[tex]V = \int^1_0 \int ^{2-2x}_{0} \int ^{2-2x-y}_{0} \ dz \ dy \ dx[/tex]

[tex]V = \int^1_0 \int ^{2-2x}_{0} (2-2x-y) \ dy \ dx[/tex]

[tex]V = \int^1_0 \bigg [2\times y -2x\times y - \dfrac{y^2}{2} \bigg]^{2-2x}_{0} \ dx \[/tex]

[tex]V = \int^1_0 \bigg [2\times (2-2x) -2x\times (2-2x) - \dfrac{(2-2x)^2}{2} \bigg]\ dx[/tex]

[tex]V = \int^1_0 \bigg [2x^2-4x+2 \bigg]\ dx[/tex]

[tex]V = \bigg [2\dfrac{x^3}{3}-\dfrac{4x^2}{2}+2 x\bigg]^1_0[/tex]

[tex]V = \bigg [2\dfrac{(1)^3}{3}-\dfrac{4(1)^2}{2}+2 (1)-0\bigg][/tex]

[tex]V = \dfrac{2}{3}- 2 + 2[/tex]

[tex]\mathbf{V = \dfrac{2}{3}}[/tex]

Melanie is reading a book that has 577 pages. She has already read 187 pages of the book and will read an additional 26 pages per night. Solve 187 + 26n = 577 to find how many more nights it will take Melanie to finish the book.

Answers

Answer:

15 nights

Step-by-step explanation:

187+26n=577

-187          -187

     26n=390

divide 26 on both sides

         n=15

What is the reason for each step in the solution of the equation?

−6x+7x+14=3

Answers

Answer:

−6x+7x+14=3

x = -11

X had the same value so it can perform its calculations. Integers without any variable can perform its calculations also.

Thank you and please rate me as brainliest as it will help me

Yesterday, 20 guests at a hotel called for room service, and 60 guests did not call for room service. What percentage of the guests at this hotel called for room service yesterday?

Answers

33.3% is the answer, I think

20/60 ---> 1/3, covert this to a percentage and it equals 33.3%

i need some help with these trigonometry questions anyone

Answers

Answer:

7

Step-by-step explanation:

I just got out of harvard

What is the perimeter?
5 m
3 m
4 m

Answers

Answer:

12

Step-by-step explanation:

5+3+4=?

8+4=?

12

Find the new amount if $65 increase 20/

Answers

Answer:

$85

Step-by-step explanation:

Answer:

the new amount would be $85

Step-by-step explanation:

you do $65 and add 20 because it increased 20

can you please mark me brainlest I would mean a lot

2. Which of the following represents the
center of dilation?
3.51
3
2.5
2.
1.5
(1, 1.5
1
1
A
0.5
(3,1)
0.5, 0.5) (1.5, 0.5)
.
ov
0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6
A. (0,0)
B. (1,6)
C. (3,1)
D. (2,3)

Answers

Answer:

B (1,6)

Step-by-step explanation:

I don't know if I'm right

what is The prime factorization of
is 24 × 5.

Answers

Answer:

2 x 2 x 2 x 3 x 5

OR

(2 exponent 3) x 3 x 5

Step-by-step explanation:

24 x 5 = 120

120 prime factorization is: (I did on calculator) 2 x 2 x2 x3 x5

Hope that helps! Plz make brainleist!

What is the solution for 9X 2 -25 = 0

Answers

x = 5/3

x = - 5/3

i believe this is the answer

Determine if the two triangles are congruent. If they are, state how you know

Answers

Answer:

All i know is yes because if you rotate it to the right yo would have all of the same measurments

Step-by-step explanation:

Solve. y=x−6 3x+2y=8 Use any method.

Answers

Answer:

The answer is x=4 and y=−2


The area of a rectangular plot is 360 sq. m. Its length is given as 24 m. Find its breadth.
1
Cind the are of ther​

Answers

Answer:

As an area can be any shape, there is no formula for finding length and breadth when given area But if you have a rectangle Area = length × breadth Which can be rearranged to give Bread

Step-by-step explanation:

Answer:

it is 15m wide.

Step-by-step explanation:

i dont know what "Cind the are of ther​" means, but

15*24=360

10*20=240  +  5*24=120  =  15*24=360

something costs $10.39 and i get 02.59lbs what would it cost

Answers

Answer:

There is no specific answer

Step-by-step explanation:

It depends on how much it costs per pound.

Drag and drop the answer into the box to match each point to its coordinates.


plz hurry

Answers

Answer:

Is there supposed to be a photo?

I can't figure this one out| geometry Classifying and Solving for Side/Angles in Triangles

Answers

Answer:

use Pythagorean theorem (a^2 + b^2 = c^2)

Step-by-step explanation:

To eliminate the y terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before adding the equations together?

First equation: 4x − 3y = 34

Second equation: 3x + 2y = 17
The first equation should be multiplied by 2 and the second equation by 3.
The first equation should be multiplied by 2 and the second equation by −3.
The first equation should be multiplied by 3 and the second equation by 4.
The first equation should be multiplied by 3 and the second equation by −4.

Answers

The possible answer is the first choice because thats how you  do a equation

The first equation should be multiplied by 2 and the second equation by 3 and then we can add since the sign are different,.

System of equation

Given the system of equations

4x − 3y = 34

3x + 2y = 17

In order to eliminate, the first equation should be multiplied by 2 and the second equation by 3 and then we can add since the sign are different,.

Learn more on system of equation here:https://brainly.com/question/25976025

#SPJ9

What is the Product of 2+√-121 And 3+√-64? The answer must be as a complex number in standard form. Please help​

Answers

Answer:

[tex]94 + 49i[/tex]

Step-by-step explanation:

Given

[tex]2 + \sqrt{-121[/tex] and [tex]3 + \sqrt{-64[/tex]

Required

Determine the products

We have:

[tex](2 + \sqrt{-121}) * (3 + \sqrt{-64})[/tex]

Factorize:

[tex]2(3 + \sqrt{-64}) + \sqrt{-121} (3 + \sqrt{-64})[/tex]

Open Brackets

[tex]6 + 2\sqrt{-64}+ 3\sqrt{-121} + \sqrt{-121} *\sqrt{-64}[/tex]

[tex]6 + 2\sqrt{-64}+ 3\sqrt{-121} + \sqrt{-121*-64}[/tex]

[tex]6 + 2\sqrt{-64}+ 3\sqrt{-121} + \sqrt{7744}[/tex]

Expand the expression in square roots

[tex]6 + 2\sqrt{-1 * 64}+ 3\sqrt{-1 * 121} + \sqrt{7744}[/tex]

Split roots

[tex]6 + 2\sqrt{-1} * \sqrt{64}+ 3\sqrt{-1} * \sqrt{121} + \sqrt{7744}[/tex]

Take positive square roots of 64, 121 and 7744

[tex]6 + 2\sqrt{-1} * 8+ 3\sqrt{-1} * 11 + 88[/tex]

[tex]6 + 16\sqrt{-1}+ 33\sqrt{-1}+ 88[/tex]

Collect Like Terms

[tex]88 + 6 + 16\sqrt{-1}+ 33\sqrt{-1}[/tex]

[tex]94 + 49\sqrt{-1}[/tex]

A complex number in standard form is:

[tex]a + bi[/tex]

Where

[tex]i = \sqrt{-1[/tex]

So:

[tex]94 + 49\sqrt{-1}[/tex]

=

[tex]94 + 49i[/tex]

Hence:

The product of [tex]2 + \sqrt{-121[/tex] and [tex]3 + \sqrt{-64[/tex] is  [tex]94 + 49i[/tex]

Can someone please help me with this?

Answers

Answer:

A: 103

B: 77

C: 46

Step-by-step explanation:

103
77
46
djehdhdhdhdhshddhd

why have i not been ban yet ive been giving wrong answers so i could give u guys points eh who want s 100 points?

Answers

Answer:Thx for the point have a good day!!!

Step-by-step explanation:

Answer:

$5.86$5.86$5.86$5.86$5.86$5.86$5.86$5.86$5.86$5.86$5.86$5.86gt7vxyuerwdgvfyuc54gbryfuiv

Step-by-step explanation:

Which measurement is the best estimate for the thickness of a phone book?

5 m
5 km
5 mm
5 cm

Answers

Answer:

5cm I think I am not sure

The thickness is an estimated 5cm

help me with this PLEASE

Answers

Answer:

132°

Step-by-step explanation:

y°=7x+20° (vertically opposite angles)

3x°+7x°+20°=180° (interior angles, since M is parallel to N)

10x+20°=180°

10x=180°-20°

10x=160°

x=16°

y°=7(16°)+20°

y°=112°+20°

y°=132°

Your answer will be 132 degrees

Please factor/simplify the following term
x^4-16

Answers

(X^2+4)(x+2)(x—2)
Hope this helped:)

Answer:

x - 2

Step-by-step explanation:

We will find the fourth root of both sides, which for x⁴ is simply going to be 4. For the other side, we will need to find the 4th root of 16. This can found in one of two ways.

Take the square root of 16, which and 4, and square root it again to get 2.

Use the calculator to find the 4th root of 16, which also comes out to be 2.

Our final answer for the simplified expression is x - 2

slope = -11 and through the point (5,7)​

Answers

Answer:

y-7=-11(x-5)

Step-by-step explanation:

y-Y^1=mx-X^1

translating words into algebraic symbols​

Answers

Answer:

x-70

Step-by-step explanation:

Answer:

X-7

Step-by-step explanation:

4x-22+6x Pls tell me

Answers

Answer:

10x-22

Step-by-step explanation:

collect like terms

Answer:

10x - 22

Step-by-step explanation:

Combine like terms

4x - 22 + 6x  = 4x + 6x - 22

                     = 10x - 22

0.45 × 10 to the second power​

Answers

Answer:

45

Step-by-step explanation:

0.45 x [tex]10^{2}[/tex]

[tex]10^{2}[/tex] = 100

0.45 x 100 = 45

45 is the correct answer

Brianna answered 80% of the questions correct on her math test. Which fraction represents the number of questions she answered correctly?

Answers

Answer: 4/5

Step-by-step explanation:

80% is 80/100

80/100 simplified is 4/5

Answer:

8/10 ( you didnt say how much questions there were)

Step-by-step explanation:

As a fraction, 80/100 simplifies to be 8/10. ( 10 can go into 80, 8 times and 10 can go into 100, 10 times)

So, if Brianna had 10 questions on the test and answered 80% correctly, take the numerator of this simplified fraction and that's the answer

ANSWER: 8

Brianna got 8 questions correct

Hope this helps you. Plz mark Brainliest if u want to!  :)  

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