A sphere and a cone have the same volume and each has a radius of 6 centimeters what is the height of the cone

Question

asked Jul 2, 2019 53.7k views

1 Answer

Samori · Answer 1 · 2019-07-06T20:05:40+0000

V(sphere)=(4/3)πr³
V(cone) =(1/3)πr²h
V(sphere)=V(cone)
(4/3)πr³ = (1/3)πr²h
3*(4/3)πr³ = 3*(1/3)πr²h
4r³ = r²h
4r = h
h=4r= 4*6 =24 cm