Question

A sports recreation company plans to manufacture a beach ball with a surface area of 7238 in.2 Find the radius of the beach ball. Use the formula 4πr^2

A is the surface area and r is the radius of the sphere.

Answer 1

Radius=24 inches

Explanation:

It is given that the surface area of the beach ball is =
`7238 in^(2)`, then using the formula:

Surface area=
`4{\pi}r^(2)`

⇒
`7238=4{\pi}r^(2)`

⇒
`\frac{7238}{4{*}3.14}=r^(2)`

⇒
`(7238)/(12.56)=r^(2)`

⇒
`r^(2)=576.27`

⇒
`r=24.00 inches`

Thus, the radius of the beach ball is 24 inches.

Answer 2

Surface area of a sphere is equal to the square of the radius multiplied by 4pi. Given the surface area to be 7238 in^2, the radius of the spherical ball can be calculated by extracting the square root of the quotient of the given surface area and 4pi. Therefore, the radius of the spherical ball is equal to 23.99 inches