+0

# Math

0
78
1

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.

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 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

.

Oct 8, 2020