Question

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

Answer 1

Answer:

324π in²

Step-by-step explanation:

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

Calculate r using the volume (V) formula

V = $\frac{4}{3}$πr³

Here V = 972π , thus

$\frac{4}{3}$πr³ = 972π ( divide both sides by π )

$\frac{4}{3}$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

Answer 2

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)