Question

A conical storage building stores landscaping stone. The diameter of the base of the building is 36 feet, the height is 57.2 feet, and the slant height of the building is 60 feet. How many square feet does the base of the building measure? Use 3.14 for pi and round to the nearest hundredth. A. 1,017.36 ft2 B.2,568.39 ft2 C.3,391.20ft2 D.4,096.44 ft2

Answer 1

A

Explanation:

Answer 2

Option A is correct.

1,017.36 square feet does the base of the building measure.

Explanation:

Given: Diameter of the base (d) = 36 feet , Height of the building (h) = 57.2 feet and slant height of the building(l) = 60 feet.

We have to find the area of the base of the building.

Since, the building is in the form cone.

Area of the base(A) of the cone is given by:

`A= \pi r^2` ......[1]; where r is the radius of the cone

Diameter(d) = 2r

36 = 2r

Divide both sides by 2 we get;

r = 18 feet.

Substitute the value of r = 18 feet and
`\pi = 3.14` in [1] we get;

Area of the base of the building =
`3.14 * (18)^2 = 3.14 * 324 = 1017.36` square feet.

Therefore, 1,017.36 square feet does the base of the building measure.