Question

A solid right circular cone of radius 4cm and height 7cm is melted to form a sphere. Find the radius of sphere

Answer 1

volume of cone=volume of sphere
1÷3×πr²h=4÷3πr³
⇒r²h=4r³
given radius of cone is 4cm and height=7cm
⇒4×4×7=4×r³
⇒4×7=r³
⇒28=r³
⇒r=∛28