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

125600 cu ft total volumn

5.98 snow storms (or rounded up to 6)

Explanation:

volumn =pi * radius^2 * height (radius is 1/2 diameter of 40)

v= 3.14 * 20^2 * 100

v= 125600 cu ft

divide total volumn by 21,000 used per snow storm = 5.98

note; this is using 3.14 for pi

using pi key = 125663.7 total volumn and 5.98 snow storms stays the same

Answer 2

1) The total volume of the storage shed is: V = 125663.71 ft³

2) The number of snow storms that the town expects to handle before the storage shed needs to be refilled with additional road salt is: 5

How to find the volume of the cylinder?

The formula for the volume of a cylinder is:

V = πr²h

where:

r is radius

h is height

We are given:

r = 40/2 = 20 ft

h = 100 ft

Thus:

V = π * 20² * 100

V = 125663.71 ft³

We are told that about 21,000 cubic feet of road salt is used during a typical snow storm.

Thus:

Number of snow storms for the cylinder = 125663.71/21000 = 5.983

But we will pick 5 as the maximum because at 6 the cylinder can't contain it.