A square pyramid is contained within a cone. Both share a height of 20 cm. The square base of the pyramid has an edge of 10 cm. What is the volume of the cone? (Round answer to the nearest whole number)

Question

Mathematics

Gracelyn Crane

4 June, 19:55

A square pyramid is contained within a cone. Both share a height of 20 cm. The square base of the pyramid has an edge of 10 cm. What is the volume of the cone? (Round answer to the nearest whole number)

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Answers (1)

Know the Answer?

Anya Walton · Answer 1

If the dge is 10, then the diameter is 10height is 20

so

v = (1/3) hpir^2

d/2=r

10/2=5=r

h=20

V = (1/3) (20) (pi) (5^2)

V = (1/3) (20) (pi) (25)

V = (500/3) pi

use calculator and pi=3.141592

523.599

round

524 cubic centimeters