Question

geometry
volume of a cylinder
a grain silo has a cylindrical shape. its diameter is 15 ft, and its height is 35 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.
15 ft
35 ft
ft ft² ft³

Explanation:

Step1: Find the radius

The diameter is 15 ft, so the radius \( r = \frac{15}{2}=7.5 \) ft.

Step2: Recall the volume formula for a cylinder

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

Step3: Substitute the values

We know \( \pi = 3.14 \), \( r = 7.5 \) ft, and \( h = 35 \) ft. So, \( V=3.14\times(7.5)^{2}\times35 \).
First, calculate \( (7.5)^{2}=56.25 \). Then, \( 3.14\times56.25 = 176.625 \). Then, \( 176.625\times35=6181.875 \).

Step4: Round to the nearest whole number

Rounding 6181.875 to the nearest whole number gives 6182. The unit for volume of a cylinder is cubic feet (\( \text{ft}^3 \)).

Answer:

\( 6182 \text{ cubic feet} \) (or \( 6182 \text{ ft}^3 \))