Answer:
The internal diameter of the sphere is 6 cm.
Step-by-step explanation:
Given that, a solid right circular cone of diameter 14 cm and height 8 cm.
The radius of the cone is
= 7 cm.
The volume of the cone is
Let the internal radius of the sphere be r.
The external diameter of the sphere is = 10 cm
The external radius of the sphere is(R) = 5 cm
The volume of the sphere is
The sphere is formed by the solid right circular cone.
∴The volume of the sphere = The volume of the cone
According to the problem,
⇒r= 3
The internal radius of the sphere is = 3 cm.
The internal diameter of the given sphere is = (2×3) cm =6 cm.