Question

find the volume of this cylinder. round to the nearest tenth. 17ft 8ft ? ft³ 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 \( r = 8 \) ft and the height \( h = 17 \) ft.

Step3: Substitute the values into the formula

Substitute \( r = 8 \) and \( h = 17 \) into the formula:
\[
V=\pi\times(8)^{2}\times17
\]

Step4: Calculate the value

First, calculate \( 8^{2}=64 \). Then, multiply by 17: \( 64\times17 = 1088 \). Now, multiply by \( \pi \):
\[
V=\pi\times1088\approx3.14159\times1088
\]
\[
V\approx3416.3
\]

Answer:

\( 3416.3 \)