Question

The radius of a sphere is 10 cm. if the radius is increased by 1 cm. Then prove that volume of the sphere is increased by 33.1%

Answer 1

volume of sphere is=4/3 pie r^3
given radius =10 cm
volume= 4000/3 pie cm^3
If radius increased by 1 cm then volume will be 5324/3 pie cm^3
33.1% of 4000/3 pie is 1324/3 pie
and our new volume is 4000/3 pie +1323/3 pie = 5324/3 pie
Hence proved