Question

a grain silo has a cylindrical shape. its radius is 8.5 ft, and its height is 48 ft, what is the volume of the silo? use the value 3.14 for π, and round your answer to the nearest whole number. be sure to include the correct unit in your answer.

Explanation:

Step1: Recall cylinder volume formula

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

Step2: Substitute given values

Here, \( r = 8.5 \) ft, \( h = 48 \) ft, and \( \pi = 3.14 \). First, calculate \( r^2 \): \( 8.5^2 = 72.25 \).

Step3: Calculate \( \pi r^2 \)

Multiply \( \pi \) (3.14) by \( r^2 \) (72.25): \( 3.14 \times 72.25 = 226.865 \).

Step4: Multiply by height

Multiply the result by \( h \) (48): \( 226.865 \times 48 = 10889.52 \).

Step5: Round to nearest whole number

Rounding 10889.52 to the nearest whole number gives 10890.

Answer:

10890 cubic feet (or \( 10890\ \text{ft}^3 \))