Question

a grain silo has a cylindrical shape. its radius is 8.5 ft, and its height is 42 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 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: Substitute the given values into the formula

We are given that \( r = 8.5 \) ft, \( h = 42 \) ft, and \( \pi = 3.14 \). Substituting these values into the formula, we get:
\( V = 3.14 \times (8.5)^2 \times 42 \)

Step3: Calculate \( (8.5)^2 \)

\( (8.5)^2 = 72.25 \)

Step4: Multiply the values

First, multiply \( 3.14 \) and \( 72.25 \): \( 3.14 \times 72.25 = 226.865 \)
Then, multiply the result by \( 42 \): \( 226.865 \times 42 = 9528.33 \)

Step5: Round to the nearest whole number

Rounding \( 9528.33 \) to the nearest whole number gives \( 9528 \). The unit for volume of a cylinder is cubic feet (\( \text{ft}^3 \)) since we are dealing with three - dimensional space (radius and height are in feet, and volume is a three - dimensional measurement).

Answer:

\( 9528 \text{ cubic feet} \) or \( 9528 \text{ ft}^3 \)