Question

Spherical lead of radius 9 cm is melted and recast into a right circular cone of height 72 cm find the radius of the base of the cone

Answer 1

Step-by-step explanation:

Given :

Radius of sphere = 9 cm (r)

height of cone = 72cm (H)

To find :

base radius of cone , R

Solution :

Volume of Sphere = 4/3πr³

V = 4/3 × 3.14 × 9³

V = 3052 cm³

( volume of sphere = volume of cone )

Volume of cone = 1/3 π R² h

1/3πR²h = 3052

1/3 × 3.14 ×72 × r² = 3052

R² = (3052 × 3)/3.14×72

R² = 40.5

R = 6.36 cm

The base radius of cone is 6.37 cm