Question

a grain silo has a cylindrical shape. its radius is 8 ft, and its height is 45 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 $V = \pi r^2 h$

Step2: Substitute given values

$r=8$ ft, $h=45$ ft, $\pi=3.14$
$V = 3.14 \times 8^2 \times 45$

Step3: Calculate $8^2$ first

$8^2 = 64$
$V = 3.14 \times 64 \times 45$

Step4: Compute $3.14 \times 64$

$3.14 \times 64 = 200.96$
$V = 200.96 \times 45$

Step5: Calculate final volume and round

$200.96 \times 45 = 9043.2$
Round to nearest whole number: $9043$

Answer:

9043 cubic feet ($\text{ft}^3$)