Question

A city has cone-shaped buildings for storing salt and sand for icy roads. Eachbuilding has a radius of 30 feet and a height of 20 feet. Find the volume of thebuilding. Use 3.14 for T.

Answer 1

The formula for determining the volume of a cone is:

$V_{cone}=\frac{\pi r^2h}{3}$

where r = radius and h = height of the cone.

Based on the question, the radius = 30ft, the height = 20ft, and to use π = 3.14.

Let's replace the variables in the formula above with their corresponding numerical value.

$V_{cone}=\frac{(3.14)(30ft)^2(20ft)}{3}$

Then, solve.

$V_{cone}=\frac{3.14(900ft^2)(20ft)}{3}$$V_{cone}=\frac{56,520ft^3}{3}$$V_{cone}=18,840ft^3$

Therefore, the volume of the building is 18, 840 cubic feet.