Question

A zorb is a large plastic ball inside another plastic ball. Charlie received one as a gift for his birthday. He filled the inner ball with 4.2 cubic meters of air. He knows the radius of the outer ball is 1.5 times larger than the radius of the inner ball

Answer 1

14.14
`m^(3)`

Explanation:

volume of a sphere (ball) =
`(4)/(3) \pi r^(3)`

volume of inner ball =
`(4)/(3) \pi r^(3)` = 4.2
`m^(3)`

⇒
`r^(3)` =
`(4.2 X 3)/(4\pi )`

⇒
`r^{}` = ∛ 1.00268

⇒
`r^{}` = 1
`m^(3)`

radius of outer ball is 1.5 times larger than radius of inner ball, therefore;

⇒ R = 1.5 r

⇒ R = 1.5 x 1 = 1.5
`m^(3)`

Volume of outer ball = (4/3)
`\pi` x
`1.5^(3)` = 14.14
`m^(3)`