A cone and a sphere have the same volume. If the radius of the base of the cone equals the radius of the sphere, what is the height of the cone?

Mellie
Apr 21, 2017

#1**+5 **

Volume of cone/pyramid = ((pi)r^{2}*height)/3

Volume of sphere = (4(pi)r^{3})/3

(pi)~~r~~h=4(pi)r^{2}^{3}

~~(pi)~~h=4~~(pi)~~r

h=4*r

the height of the cone is 4 times the radius of the cone or sphere

helperid1839321
Apr 21, 2017