Question

PLEASE help me with this question!! I really need help!

Answer 1

First, use the volume of sphere formula by plugging in the volume into the equation to get the value of r cubed. Then get r by determining the cube root of r cubed. Once you have the value of r, plus that into the surface area of sphere formula to get the surface area of the balloon. Answer: 324pi inches squared (use radian mode on calculator)

Answer 2

324π in²

Explanation:

The surface area of a sphere = 4πr² ( r is the radius )

Calculate r using the volume (V) formula

V =
`(4)/(3)`πr³

Here V = 972π , thus

`(4)/(3)`πr³ = 972π ( divide both sides by π )

`(4)/(3)`r³ = 972 ( multiply both sides by 3 to clear the fraction )

4r³ = 2916 ( divide both sides by 4 )

r³ = 729 ( take the cube root of both sides )

r =
`\sqrt[3]{729}` = 9

Thus

surface area = 4π × 9² = 4π × 81 = 324π in²