Q4 of 67 Page 195

Volume of a sphere is 38808 cm3. Find its surface area.

Volume of sphere = 38808 cm3


Let r be the radius of sphere


Volume of sphere = πr3


⇒ πr3 = 38808


⇒ × × r3 = 38808


⇒ r3 =


⇒ r3 =


⇒ r3 = 441 × 21


⇒ r3 = 9261


⇒ r = 21 cm


Surface area of sphere = 4πr2


= 4 × × 21 × 21


= 4 × 22 × 3 × 21


= 5544 cm2


Therefore, surface area is 5544 cm2


More from this chapter

All 67 →
2

The surface area of a sphere is 616 cm2. Find its volume.

 3

The radius of a hemisphere is 4.5 cm. Find its surface area and its volume.

 5

A cylinder made out of lead has radius 4 cm and height 10 cm. It is melted to form lead shots of radius 2 cm. Find the number of lead shots.

 6

A hollow spherical shell is 2 cm thick. If its outer radius is 8 cm, then find the volume of the metal to make such a shell.