Question

The volume of sphere Q is 150% more than the volume of sphere P the volume of sphere R is 50% more than the volume of sphere Q Find the volume of sphere P as a fraction of the volume of sphere R

Answer 1

1/3.75

Explanation:

Let:

Volume of sphere P = x

Volume Sphere Q = x + 150/100x

Volume of Q = x + 1.5x = 2.5x

Volume of R is 50% more than Q

Volume of R = (100 + 50)% of 2.5x

Volume of R = 150/100 * 2.5x

Volume of R = 1.5 * 2.5x = 3.75x

Volume of sphere P as a fraction of sphere R ;

Volume of P / volume of R

x / 3.75x

= 1/3.75