Question

find the volume of the cylinder. use 3.14 for π.
a cylinder with radius 3 in and height 12 in is shown.
options:
a. 339.12 cu. in.
b. 113.04 cu. in.
c. 226.08 cu. in.
d. 1356.48 cu. in

Explanation:

Step1: Recall the formula for the volume of a cylinder

The formula for the volume \( V \) of a cylinder is \( V=\pi r^{2}h \), where \( r \) is the radius of the base and \( h \) is the height of the cylinder.

Step2: Identify the values of \( r \) and \( h \) from the problem

From the diagram, the radius \( r = 3\) in and the height \( h=12\) in. We are given that \( \pi = 3.14 \).

Step3: Substitute the values into the formula

First, calculate \( r^{2} \): \( r^{2}=3^{2}=9 \).
Then, multiply by \( \pi \) and \( h \): \( V = 3.14\times9\times12 \).
First, calculate \( 3.14\times9 = 28.26 \).
Then, calculate \( 28.26\times12=339.12 \) cubic inches.

Answer:

A. 339.12 cu. in.