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.
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