Question

1

Select the correct answer.
The surface area of a cone is 250 square centimeters. The height of the cone is double the length of its radius.
What is the height of the cone to the nearest centimeter?
O A.
OB.
O C.
10 centimeters
15 centimeters
5 centimeters
OD. 20 centimeters
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Answer 1

D. 20 centimeters

Explanation:

Surface area of a cone = surface area of a circle = pi r^2

250 = pi r^2

`r = \sqrt{ (250)/(2) } = 5 √(5) \: cm`

Because the height (h) of the cone is double the length of its radius

Then

h = 2r

`h \: = 2 * 5 √(5) = 10 √(5) = 22.36 \: cm`

So it'll equal approximate 20 cm