235k views
4 votes
A roof on a castle tower is shaped like a cone with a diameter of 12 feet and has a slant height of 13 feet one bundle of Shingles covers 32 ft.² how many bundles should you buy to cover the roof

User Parakh
by
6.2k points

1 Answer

1 vote

Answer:

8

Explanation:

The lateral area of a cone is ...

LA = (π/2)ds

where d is the diameter, and s is the slant height.

The area of this tower roof is about ...

LA = (π/2)(12 ft)(13 ft) = 78π ft² ≈ 245 ft²

About 245/32 = 7.7 bundles of shingles will be required for coverage.

You should buy 8 bundles of shingles to cover the roof.

User Jon Catmull
by
5.7k points