Asphere with a radius of 3 cm has the same volume as a cone with a radius of 6 cm. what is the height of the cone? a) 2 cm b) 3 cm c) 4 cm d) 5 cm

B)    3 cm

Vsphere =

Vcone =

1

3

πr2h

36π =

1

3

π(6)2h

36π = 12πh

h = 3

Thus, the height is 3 cm.

Alternatively, the two equations could be set equal to each other and solved for the unknown height of the cone.

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3

chiken

step-by-step explanation: