Question

41 find the volume of the cylinder. the volume is (square) (ft^3)

Explanation:

Step1: Identify 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: Determine the radius and height from the diagram

From the diagram, the diameter of the base of the cylinder is \( 10 \) ft, so the radius \( r=\frac{10}{2} = 5 \) ft. The height \( h = 6 \) ft.

Step3: Substitute the values into the formula

Substitute \( r = 5 \) and \( h = 6 \) into the formula: \( V=\pi\times(5)^2\times6 \).

Step4: Calculate the volume

First, calculate \( 5^2=25 \). Then, \( 25\times6 = 150 \). So, \( V = 150\pi \) (or approximately \( 150\times3.14 = 471 \)) cubic feet.

Answer:

\( 150\pi \) (or approximately \( 471 \))