Question

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

Explanation:

Step1: Recall the formula for the volume of a cylinder.

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

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

From the diagram, the radius \( r = 2 \) inches and the height \( h = 8 \) inches.

Step3: Substitute the values into the formula.

Substitute \( r = 2 \) and \( h = 8 \) into the formula:
\[
V = \pi \times (2)^2 \times 8
\]

Step4: Calculate the value.

First, calculate \( (2)^2 = 4 \). Then, multiply by 8: \( 4 \times 8 = 32 \). So, \( V = \pi \times 32 \approx 3.14159 \times 32 \approx 100.5 \) (rounded to the nearest tenth).

Answer:

\( 100.5 \)