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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 inches, of a right circular cylinder with a radius of 3 inches and a height of 2 inches?
Choose 1 answer:
(A)
5pi
(B)
6pi
(c)
12 pi
(D)
18 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 inches, of a right circular cylinder with a radius of $3$ inches and a height of $2$ inches? $\newline$ Choose $1$ answer: $\newline$ (A) $5 \pi$ $\newline$ (B) $6 \pi$ $\newline$ (C) $12 \pi$ $\newline$ (D) $18 \pi$

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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 inches, of a right circular cylinder with a radius of

3

inches and a height of

2

inches?

\newline

Choose

1

answer:

\newline

(A)

5 \pi

\newline

(B)

6 \pi

\newline

(C)

12 \pi

\newline

(D)

18 \pi

Identify values for radius and height: Identify the given values for the radius $r$ and height $h$ of the cylinder. $\newline$ Radius $r = 3$ inches $\newline$ Height $h = 2$ inches $\newline$ The formula for the volume $V$ of a right circular cylinder is $V = \pi r^2 h$ .
Substitute values into formula: Substitute the given values into the volume formula. $V = \pi \times (3 \, \text{inches})^2 \times (2 \, \text{inches})$
Calculate radius squared: Calculate the radius squared. $\newline$ $(3 \text{ inches})^2 = 9 \text{ square inches}$
Multiply base area by height: Multiply the area of the base by the height to find the volume. $V = \pi \times 9 \text{ square inches} \times 2 \text{ inches}$
Simplify expression to find volume: Simplify the expression to find the volume. $\newline$ $V = \pi \times 9 \times 2$ $\newline$ $V = 18\pi$ cubic inches

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