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2 years ago

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

Mathematics

2 answers:

pochemuha2 years ago

6 0

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)

alexdok [17]2 years ago

5 0

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

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