Home
Class 9
MATHS
The surface area of a sphere is 100pi cm...

The surface area of a sphere is `100pi cm^(2)` . Find its volume.

Text Solution

Verified by Experts

Let the radius of shere = r
`therefore 4 pi r^(2) = 100 pi`
`rArr r^(2)=25 rArr r = 5 cm`
`therefore` Volume of sphere `=(4)/(3)pi r^(3)=(4)/(3)pi(5)^(33)=(500pi)/(3)cm^(3)`
Promotional Banner

Topper's Solved these Questions

  • SURFACE AREA AND VOLUME

    NAGEEN PRAKASHAN|Exercise Problems From NCERT/exemplar|24 Videos
  • SURFACE AREA AND VOLUME

    NAGEEN PRAKASHAN|Exercise Exercise 13a|30 Videos
  • STATISTICS

    NAGEEN PRAKASHAN|Exercise Revision Exercise|10 Videos
  • TRIANGLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise (long Answer Type Question)|8 Videos

Similar Questions

Explore conceptually related problems

The surface area of sphere is (576pi) cm^(2) . Find its volume

The surface area of a sphere is 5544cm^(3) . Find its volume.

The surface area of a sphere is 1000 cm^(-2). Find its surface area in S.I. system.

If the surface area of a sphere is 144pi"cm^(2) , then its volume is . . . . .

The total surface area of a hemisphere is 632cm^(2). Find its volume.

The lateral surface area of a cube is 900 cm^(2) . Find its volume

If the surface area of a sphere is (144 pi)m^(2) then its volume is

The total surface area of a cube is 1176 cm^(2) . Find its volume