Question

A cone of radius 10cm is cut into two parts by a plane through the mid-point of its vertical axisparallel to the base. Find the ratio of the volume of the smaller cone to the frustum of the cone.10 cm​

Answer 1

Answer:

1 : 7

Step-by-step explanation:

(Volume of larger cone) / (Volume of smaller cone)  =  pi(10^2)(h) / pi(5^2)(h/2)    

(Volume of small cone + frustum) / (Volume of smaller cone) = 8

1  +  (Volume of frustum / Volume of smaller cone) = 8

Volume of frustum : Volume of smaller cone = 7 : 1