Question

A cone of height 24 cm and radius of base 6 cm is made up of modelling
clay. A child reshapes it in the form of a sphere, Find the radius of the
sphere and hence find the surface area of this sphere.​

Answer 1

Answer:

Step-by-step explanation:

r=6cm h=24cm R=radius of sphere formed

VOLUME OF CONE WILL BE EQUAL TO VOLUME OF SPHERE

1/3πr²h=4/3πR³

1/3*6*6*24=4/3 R³

288*3/4=R³

R=6cm

Surface Area Of Sphere=4πR³

                                         =4*22/7*6*6

                                         =452.5714285714cm²

THEREFORE,

Radius of Sphere=6cm

Surface Area of Sphere=452.57(Approx)