What is the approximate volume of the cylinder? Use 3.14 for T.
5 in.
16 in.
A. 126 in.
B. 153.86 in.
C. 1,256 in.
D. 7,121.52 in.
Answers
A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The volume of the cylinder with a radius of 5 inches and a height of 16 inches is 1256 in³.
What is a cylinder?A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centres overlap each other to form a right cylinder.
Given the radius of the cylinder is 5 inches, while the height is 16 inches, therefore, the volume of the cylinder will be,
Volume of the cylinder = πr²h = π×(5)²×16 = 1,256.637 in³ ≈ 1,256 in³
Hence, the volume of the cylinder with a radius of 5 inches and a height of 16 inches is 1256 in³.
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Related Questions
As the guest was sneaking away, the groundskeeper was 4 feet (or 48 inches) away and pushed an 84-inch ladder onto the suspect. The very top of the ladder hit the guest on the top of the head. Find the height of the guest in inches the convert to feet.
Answers
The height of the guest in inches will be 68.93 and in feet is 5.7.
What is the Pythagorean theorem?It states that in the right angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.
By applying the Pythagorean theorem:-
P² = H² - B²
P² = 84² - 48²
P² = 4725
P = √4725
P = 68.73 inches
Now the height in feet will be 68.73 / 12 = 5.7 feet.
Therefore the height of the guest in inches will be 68.93 and in feet is 5.7.
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what is the complete factorization of the polynomial below?
x^3 - 4x^2 + x - 4
Answers
Answer:
[tex](x-4)(x^2+1)[/tex]
Step-by-step explanation:
[tex]x^3-4x^2+x-4[/tex][tex]=x^2(x-4)+1(x-4)[/tex][tex]=(x-4)(x^2+1)[/tex]7. If VS = 12 meters, find the length of UT.
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127°
V
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antolles
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loonsleder
U
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Answers
The length of arc UT in the diagram given, to the nearest tenth, is calculated as: 3.9 meters.
What is the Length of an Arc?Length of arc = ∅/360 × 2πr
Given the following:
Radius = 1/2(VS) = 1/2(12) = 6 meters
∅ = 90 - (180 - 127) = 37°
Length of arc UT = ∅/360 × 2πr = 37/360 × 2π(6) = 3.9 meters
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a circle has a diameter of 8 m. what is the circumference? use 3.14 for pie
Answers
radius = 4m
circumference of a circle = 2πr
circumference = 2(3.14)(4)
circumference = 25.12
Step-by-Step Explanation:
d = 8 m
r = 8/2 = 4 m
π = 3.14
Circumference = 2πr
Therefore,
= 2πr
= 2 * π * r
= 2 * 3.14 * 4
= 6.28 * 4
= 25.12 m
Circumference = 25.12 m
HELP PLEASE ILL MARK BRAINLIEST WHEN I CAN
Answers
Answer:
216 degrees
Step-by-step explanation:
To convert radian measure to a degree, substitute 180 degrees in for pi.
6(180)/5=216 degrees
Therefore, your answer is 216 degrees
The velocity of v in feet per second of a roller coaster at the bottom of a hill is related to the vertical drop h in feet and the velocity v° in feet per second of the coaster at the top of the hill by the formula v°=[tex]\sqrt{v^{2}-64h[/tex] . What velocity must a coaster have at the top of a 50-foot hill to achieve a velocity of 57 feet per second.
Answers
The velocity that the coaster must have at the top of a 50-foot hill to achieve a velocity of 57 feet per second is 7 feet/second.
What is Velocity?Velocity is the rate of change of its position with respect to time.
[tex]V = \dfrac{dy}{dt}[/tex]
Given the velocity(v) in feet per second of a roller coaster at the bottom of a hill is related to the vertical drop(h) in feet and the velocity(v°) in feet per second of the coaster at the top of the hill by the formula v°=√(v²-64h).
Therefore, the velocity of the coaster at the top should be,
[tex]v^o=\sqrt{(v^2-64h)}\\\\v^o=\sqrt{[57^2-(64\times 50)]}\\\\v^o=\sqrt{49}\\\\v^o = 7\rm\ feet/second[/tex]
Hence, the velocity that the coaster must have at the top of a 50-foot hill to achieve a velocity of 57 feet per second is 7 feet/second.
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PLEASE HELP, URGENT!!!!
Find M
Answers
Answer:
Step-by-step explanation:
cos^-1(√(111))/2√(37) = 30°
m<C = 30°
X+8
What is the solution of 5x=T > 0?
XS-8 Or X2 }
L
X <-8 or X › 5
-8≤x<5
-8
PLEASE HELP
Answers
Answer:
but good luck with that man
can you please help me I pay you £50
Answers
Find the total amount
$1580 is compounded daily at a rate of 10% for 7 years. Let 1 year = 365 days.
Answers
Answer:
$3181.42
Step-by-step explanation:
The balance of an account earning compound interest is given by the formula ...
A = P(1 +r/n)^(nt)
where P is the principal invested at annual rate r for t years, compounded n times per year.
__
You have P=1580, r=0.10, n=365, t=7, so the balance is ...
A = $1580(1 +0.10/365)^(365×7) ≈ $3181.42
_____
Additional comment
Your graphing calculator may have a financial function that will calculate this for you.
A shoreline is eroding at a rate of 1/3 foot per 2 months how many feet are eroding this year
Answers
Answer:
2 feet
Step-by-step explanation:
The shoreline is eroding at 1/3 foot per 2 months. There are 12 months in a year so you multiply 1/3 x 6 and you get 2.
Write a recursive formula for the sequence 7, 4, 1, -2, -5, .... Then find the next term.
A. [tex]a_{n} = a_{n - 1} - 3[/tex], where [tex]a_{1} = -8[/tex]; 7
B. [tex]a_{n} = a_{n - 1} - 3[/tex], where [tex]a_{1} = 7[/tex]; -8
C. [tex]a_{n} = a_{n - 1} + 3[/tex], where [tex]a_{1} = -3[/tex]; 22
D. [tex]a_{n} = a_{n - 1} + 3[/tex], where [tex]a_{1} = 7[/tex]; -8
Answers
Answer:
option B
Explanation:
Recursive Formula: aₙ = aₙ₋₁ + d
Given Sequence: 7, 4, 1, -2, -5,....
Identify the common difference:
second term - first term
4 - 7 = -3 or 1 - 4 = -3 or -2 - 1 = -3
So formula:
[tex]\sf a_n = a_{n-1}-3[/tex], where [tex]\sf a_1 = 7[/tex]
Find next term:
[tex]\sf a_6 = a_{6-1}-3 = -5-3 = -8[/tex]
1. Let u (1.-3,2), v= (-1.4.2). Then find b) a unit vector in the same direction of 4v.
Answers
4v points in the same direction as v, so all you need to do is normalize v.
Simply multiply it by the reciprocal of its magnitude:
[tex]v = (-1, 4, 2) \implies \|v\| = \sqrt{(-1)^2 + 4^2 + 2^2} = \sqrt{21}[/tex]
[tex]\implies \dfrac{v}{\|v\|} = \dfrac{(-1,4,2)}{\sqrt{21}} = \left(-\dfrac1{\sqrt{21}}, \dfrac4{\sqrt{21}}, \dfrac2{\sqrt{21}}\right)[/tex]
30% of 210 is what number?
Answers
multiply 30% by 210
210 x 0.30 = 63
answer: 63
Two events can have a strong, weak, or no correlation.
True or false
Answers
iris is a sales woman whose base pay plus commissions amounted to $69,464 last year. if her base pay was 39,710 and she made $78,300 in sales last year, what was her rate of commission?
Answers
Answer:
Iris is a saleswoman whose base pay plus commissions amounted to $69,464 last year. If her base pay was $39,710 and she made $78,300 in sales last year,
what was her rate of commission?
Commissions were $29,590 against sales of $78,300
Her rate of commission was 37.79%
Step-by-step explanation:
PLEASE ANSWER ALOT OF POINTS
The graph shows two lines, A and B.
Part A: How many solutions does the pair of equations or lines A and B have? Explain your answer.
Part B: What is the solution to the equations of lines A and B? Explain your answer.
Answers
Answer:
Part A 1 solution
Part B 1,4
Answer:
Part A : It has one solution because the lines intersect at one point
Part B : The solution is the points where the lines intersect
Which is (3,4)
find x
K (7x + 217
47
M
Answers
Answer:
x=16
Step-by-step explanation:
The opposite angles will always be supplementary
<K + < M = 180
47+ 7x+21 = 180
Combine like terms
7x+68 = 180
Subtract 68
7x = 180-68
7x = 112
Divide by 7
7x/7 = 116/7
x =16
NEED HELP!! 10 POINTS
Answers
Answer:
x = 35,000
y = 30,000
Step-by-step explanation:
5x + 2y = 235,000
2x + 3y = 160,000
Have a nice day! :)
And y=30,000
in the triangle below CFED is a rectangle. If the measure of CFD= 4x and the measure of DFE is 5x, find the value of x
Answers
Let h = number of hours to bike 165 mi. Let m = number of miles biked in 7 hr. Which proportion can be used to determine the value of h?
Answers
Answer:
[tex] \frac{m}{h} = \frac{165}{7} [/tex]
ΔABC ο ΔQRS
Find the missing side length, m.
Answers
Answer:
m=5
Step-by-step explanation:
If the triangles are similar, the ratios of the side lengths are the same
AB AC
----- = -------
QR QS
6 3
---- = -----
10 m
Using cross products
6m = 3*10
6m = 30
Divide each side by 6
6m/6 = 30/6
m = 5
hehe i finished also what is 856 x 925? i'ma take a nap now
Answers
Answer:
791,800
Step-by-step explanation:
Answer: 791800
Step-by-step explanation:
If A is a prime factor of 36, and B is a prime factor of 15, what is the greatest possible difference between A and B?
Answers
Answer:
3
Step-by-step explanation:
Prime factorization
36 = 3 * 3 *2 * 2
15 = 3 * 5 The biggest difference is 5 -2 = 3
Jarrett Webster leased a sports car for $299.50 per month for
60 months. He paid a deposit of $250.00, a title fee of $95.00,
and a license fee of $220.00. What is the total least cost?
Answers
Answer: 15.095$
Step-by-step explanation:
50 points
Use the table to identify values of p and q that can be used to facto
x2 + x - 12 as (x + p)(x + 4).
NEED HELP ASAP
Answers
Answer:
-3, 4
Explanation:
x² + x - 12
factorize
x² + 4x -3x - 12
take out common terms
x(x + 4) -3(x + 4)
collect into groups
(x-3)(x+4)
p = -3, q = 4
Answer:
C. -3 and 4
Step-by-step explanation:
In order to factor a quadratic equation in the form [tex]ax^2+bx+c[/tex]
we need to find a pair of numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex].
Therefore, in order to factor [tex]x^2+x-12[/tex] we need to find a pair of numbers that multiply to -12 and sum to 1.
The only pair of numbers in the table that sum to 1 are:
p = -3 and q = 4
Therefore, the solution is option C.
<~~• ¥ Pls HELP me!! ¥ • ~~>
Answers
Answer:
A = 16
Step-by-step explanation:
Formula b*h/2
b =8
h =4
so
A= 8*4/2
A = 16
Really tired and need help 100 points
Answers
Answer:
purple
Step-by-step explanation:
Find the value of x. Geometry Magic 20 set 3
Answers
Answer:
The value of x is 64.
Step-by-step explanation:
The base angles of an isoceles triangle are congruent.
[tex]x + 58 + 58 = 180[/tex]
[tex]x + 116 = 180[/tex]
[tex]x = 64[/tex]
please help due soon
Answers
Answer:
$4742.10
Step-by-step explanation:
Exponential depreciation formula :-
, where y is the value of good after t years , r is rate of depreciation and A is the initial value.
Given : A= $20800 ; r=10.75%=0.1075
The equation models this situation:
Then, the value of car after t=13 years :-
Hence, the value of car after 13 years = $4742.10
