Question

find the volume of this cylinder. round to the nearest tenth. 8in 2in ? in³

Explanation:

Step1: Write 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 and \( h \) is the height.

Step2: Substitute the given values into the formula

Given \( r = 2\) in and \( h=8\) in. Substitute into the formula: \( V=\pi\times(2)^{2}\times8\).
First, calculate \( (2)^{2}=4 \). Then \( V=\pi\times4\times8=32\pi \).

Step3: Calculate the numerical value

Using \( \pi\approx3.14 \), we have \( V = 32\times3.14=100.48\).

Step4: Round to the nearest tenth

Rounding \( 100.48\) to the nearest tenth. The digit in the hundredth place is \( 8\gt5 \), so we round up the digit in the tenth place. \( 100.48\approx100.5\).

Answer:

\( 100.5\)