Question

The cylindrical storage shed shown below is completely filled with road salt to make a town's roads safer during snow storms. About 21,000 cubic feet of road salt is used during a typical snow storm.

a. What is the total volume of the storage shed?
b. How many snow storms can the town expect to handle before the storage shed needs to be refilled with additional road salt?

Answer 1

a. 40000pi ft^3

b. 5 times

Explanation:

a. the volume of a cylinder is pi * h * r^2

r = 20ft, h = 100ft

so V = pi * 100 * 20^2 = 40,000pi or around 125663.7 ft^3

b. to find the number of times, divide the volume by the amount of salt needed per storm then round down:

40000pi/21000 = 5.98 so 5 times. notes: depending on the teacher you might just round to the nearest integer