Question

a solid right circular cylinder with radius 6 cms and height of 8 cms has the same volume as a sphere . find the surface area of the sphere.​

Answer 1

Step-by-step explanation:

volume of cylinder = πr^2h

= π*6^2*8

= π*36*8

= 288π

this is also the volume of sphere, hence

4/3*π*r^3 = 288π

= r^3 = 288*3/4

r^3 = 216

r = 6

now, surface area of sphere

= 4πr^2

= 4*π*6^2

= 144π sqcm