Question
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
A.
144
B.
656
C.
12
D.
25.6
Answers
GPT 3.5
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.
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.