Find the volume of a sphere with a circumference of 36π ft

Answer 1

Given that:

Circumference =C= 36π ft

We know that: C= 2πr

So, 2πr = 36π

OR r = 36π/2π

r = 18 ft

Also, Volume of a sphere = V= 4/3(πr³)

V = 4/3 (3.14× (18)³)

Volume of the given sphere = 24416.64 ft³

OR Volume = V = 4/3 (π × (18)³)

Volume of the given sphere = V = 7776π ft³

Answer 2

We're looking for the volume of a sphere so it's good to start with the formula.

V=(4/3)πr³

Volume is equal to four-thirds times pi times the radius cubed. We have all the components except for the radius. So we need to find the radius from the information given. Since we were given the circumference, we can work backwards to find the radius.

C=2πr

Circumference equals two times pi times the radius. Let's plug in our given circumference of 36π ft.

36π ft = 2πr

Solving for r, we divide both sides by 2π to get our radius.

18 ft = r

The radius is 18 feet.

No we can go back to the original equation, plug in the radius, and solve.

V=(4/3)π(18 ft)³

V=(4/3)π(5832 ft³)

V=7776π ft³

The volume of this sphere is 7,776π ft³

Answer 3

Using the circumfrence, can find the radius

C=2πr

36π=2πr pi cancels out

36=2r Divide both sides by 2

18=r

Now use r to find the volume

V=4/3πr³

V=4/3π(18)³

V=7776π ft³