Question

A solid metallic sphere of radius 8 cm is melted and recasted into a rightbcircular cone of height 32cm findvthe radius of base of tge cone

Answer 1

Answer:

8cm

Step-by-step explanation:

The volume of a sphere is

4/3 π × r³

The volume of a cone is

1/3 π × r² × h

As solid metallic sphere is melted and recasted into a right circular cone so their volume will be same. Hence, we will equate both volumes

Solution

4/3 π × r³ = 1/3 π × r² × h

4/3  π × 8³ = 1/3 π × r² × 32

2048/3 = 32/3 × r²

r² = 2048/32

   = √64

   = 8cm

Radius of the base of the cone is 8cm.

Answer 2

Answer:

8 cm

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