Question

what is the volume of this cylinder? use π ≈ 3.14 and round your answer to the nearest hundredth. 15 yd 8 yd cubic yards 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 of the base and \( h \) is the height of the cylinder.

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

From the diagram, the radius \( r = 15\) yd and the height \( h=8\) yd. We are given that \( \pi\approx3.14 \).

Step3: Substitute the values into the formula

First, calculate \( r^{2} \): \( r^{2}=15^{2}=225 \).
Then, multiply by \( \pi \) and \( h \): \( V = 3.14\times225\times8 \).
First, calculate \( 3.14\times225 \): \( 3.14\times225 = 706.5 \).
Then, multiply by 8: \( 706.5\times8=5652.00 \).

Answer:

\( 5652.00 \)