3 years ago

A sphere has a volume of V=1296in^3. Find its surface area

Mathematics

1 answer:

klio [65]3 years ago

5 0

Answer:

574.85 in² (approx.)

Step-by-step explanation:

The sphere's volume equation is V = (4/3) * π * r³, which we can set equal to the given volume of 1296 in³:

1296 = (4/3) * π * r³

Now solve for r to get r ≈ 6.7635 in.

The surface area of a sphere is SA = 4 * π * r². Now substitute r into that equation to get:

SA = 4 * π * (6.7635)² ≈ 574.85 in²

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