Question -
Answer -
Given,
Radius of the coppersphere = 3 cm
We know that,
Volume of the sphere =4/3 π r3
= 4/3 π × 33 …..(i)
Also, given that thecopper sphere is melted and recasted into a right circular cone
Height of the cone = 3cm
We know that,
Volume of the rightcircular cone = 1/3 π r2h
= 1/3 π × r2 ×3 ….. (ii)
On comparing equation(i) and (ii) we have,
4/3 π × 33 =1/3 π × r2 × 3
r2 =36
r = 6 cm
Therefore, the radiusof the base of the cone is 6 cm.