Question

A sphere of radius 16.6 cm is melted and recast into right circular cone of height 16.6 cm. Find the radius of the base of the cone.​

Answer 1

Answer:

The radius of the base of the cone is 33.20 cm.

Step-by-step explanation:

Vol of sphere = 4/3πr^3

= 4/3×22/7×(16.6)^3

= 19168.47

So, the sphere is recast to a circular cone,

Vol of cone = 1/3πr^2h

= 1/3×22/7×r^2×16.6

= 17.39×r^2

Now,

Vol of sphere = Vol of cone

19168.47 = 17.39 × r^2

19168.47/17.39 = r^2

1102.26 = r^2

√1102.26 = r

33.20 = r

Hope it will help u !!