Question

find the volume of the cylinder. round to the nearest tenth.
2 mi
3 mi
a. 56.5 mi³
b. 78.6 mi³
c. 45.7 mi³
d. 5541.8 mi³

Explanation:

Step1: Recall volume formula

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

Step2: Identify values

Given $r = 3$ mi and $h=2$ mi.

Step3: Substitute values

$V=\pi\times(3)^{2}\times2=\pi\times9\times 2 = 18\pi$ mi³.

Step4: Calculate and round

$V\approx18\times3.14159 = 56.54862\approx56.5$ mi³.

Answer:

A. $56.5$ mi³