A cone has a radius of 16cm and a slant height of 20cm. What is the height of the cone?

A.

144
B.

656
C.

12
D.

25.6

1 answer

D. 25.6

You can use the Pythagorean theorem to find the height of the cone. The slant height (20cm), height (h), and radius (16cm) form a right triangle:

h^2 + 16^2 = 20^2
h^2 = 400 - 256
h^2 = 144
h = √144
h = 12

Therefore, the height of the cone is 12cm.
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