The surface area of this sphere is 615.44 square yards. What is the volume of this sphere? Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
The surface area of this sphere is 615.44 square yards. What is the volume of this sphere? Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
The first thing to do is determine the radius of the sphere
We'll just use the formula for the area of a sphere 4 π r2 = A
Area is 615.44 and 4 π is 12.56 so plug them in (12.56) r2 = 615.44
Divide both sides by 12.56 r2 = 49
Well. That turned out pretty convenient. A perfect square.
Take the square root of both sides. r = 7
Actually it's +7 but we discard the negative value.
4
Now use the formula to determine the volume of a sphere. V = –– π r3
3
Doing a little arithmetic on the calculator 4308.08
V = ——–——
3
Once more to the calculator and ta da V = 1436.03 yd3
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