Question

question a cylinder has a base radius of 5 centimeters and a height of 17 centimeters. what is its volume in cubic centimeters, to the nearest tenths place?

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: Substitute values

Given $r = 5$ cm and $h=17$ cm. Substitute into the formula: $V=\pi\times(5)^{2}\times17$.

Step3: Calculate

First, $(5)^{2}=25$. Then $V=\pi\times25\times17 = 425\pi$. Using $\pi\approx3.14159$, $V\approx425\times3.14159 = 1335.17575$.

Step4: Round

Rounding $1335.17575$ to the nearest tenths place gives $1335.2$.

Answer:

$1335.2$