Question

Suppose you have a conical shaped tent that you will use for camping. You want to bring along a tarp to fully cover the lateral area in case of inclement weather. The tent is 13 feet across and stands 8 feet high. What is the lateral area that the tarp would cover?

Answer 1

210.5

Explanation:

Answer 2

about 210.5 ft²

Explanation:

The radius of the base of the tent is half the distance across, so is 13/2 = 6.5 ft. The slant height (s) of the tent is found using the Pythagorean theorem:

s = √(6.5² +8²) = √106.25 ≈ 10.308 ft

Then the lateral area can be found from the formula ...

LA = πrs = π·(6.5 ft)(10.308 ft) ≈ 210.49 ft²