Question

find the volume of the cylinder in terms of π.
r = 15 ft.
h = 6 ft.
v = \square π ft³

Explanation:

Step1: Recall 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 of \( r \) and \( h \)

We are given that \( r = 15\) ft and \( h=6\) ft. Substitute these values into the formula:
\( V=\pi\times(15)^{2}\times6 \)
First, calculate \( 15^{2}=225 \). Then, multiply \( 225\times6 = 1350 \). So, \( V = 1350\pi \) cubic feet.

Answer:

\( 1350 \)