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.

Guest Oct 8, 2020

#1**0 **

*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 r^{2} = A

Area is 615**.**44 and 4 π is 12**.**56 so plug them in (12**.**56) r^{2} = 615**.**44

Divide both sides by 12**.**56 r^{2} = 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 r^{3}

3

Doing a little arithmetic on the calculator 4308**.**08

V = ——–——

3

Once more to the calculator and ta da **V = 1436.03 yd ^{3}**

_{.}

Guest Oct 8, 2020