Question

The radius of a sphere is 14cm. if the radius be increased by 50 percent find by how much percent its volume is increase.

Answer 1

The radius of a sphere = 14 cm
volume of sphere = 4/3πr³
                              = 4/3 × 22/7 × 14³
                              = 11498.67 cm³
The radius of a sphere is increased by 50 % = 14 + 14 × $\frac{50}{100}$                                                                             = 14+7
                                                                             = 21 cm
volume of new sphere  = 4/3πr³
                                      = 4/3 × 22/7 × 21³
                                      = 38808 cm³
the volume increases by 237.5 %