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V=pir^(2)h
The formula gives the volume
V of a right circular cylinder with radius
r and height
h. What is the volume, in cubic centimeters, of a right circular cylinder with a radius of 2 centimeters and a height of 20 centimeters?
Choose 1 answer:
(A)
40 pi
(B)
80 pi
(c)
400 pi
(D)
800 pi

$V=\pi r^{2} h$ $\newline$ The formula gives the volume $V$ of a right circular cylinder with radius $r$ and height $h$ . What is the volume, in cubic centimeters, of a right circular cylinder with a radius of $2$ centimeters and a height of $20$ centimeters? $\newline$ Choose $1$ answer: $\newline$ (A) $40 \pi$ $\newline$ (B) $80 \pi$ $\newline$ (C) $400 \pi$ $\newline$ (D) $800 \pi$

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Write equations of sine and cosine functions using properties

Full solution

Q.

V=\pi r^{2} h

\newline

The formula gives the volume

V

of a right circular cylinder with radius

r

and height

h

. What is the volume, in cubic centimeters, of a right circular cylinder with a radius of

2

centimeters and a height of

20

centimeters?

\newline

Choose

1

answer:

\newline

(A)

40 \pi

\newline

(B)

80 \pi

\newline

(C)

400 \pi

\newline

(D)

800 \pi

Identify given values: Identify the given values from the problem. $\newline$ We are given the radius $r = 2$ centimeters and the height $h = 20$ centimeters.
Use volume formula: Use the formula for the volume of a right circular cylinder. $\newline$ The formula is $V = \pi r^2 h$ .
Substitute given values: Substitute the given values into the formula. $V = \pi(2 \text{ cm})^2(20 \text{ cm})$
Calculate volume: Calculate the volume. $\newline$ $V = \pi(4 \text{ cm}^2)(20 \text{ cm})$ $\newline$ $V = \pi(80 \text{ cm}^3)$ $\newline$ $V = 80\pi \text{ cm}^3$
Match with options: Match the calculated volume with the given options. $\newline$ The calculated volume is $80\pi$ cubic centimeters, which corresponds to option (B).

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