Question

A sphere has a circumference of 18.85. Find the volume of the sphere. Round to the nearest tenth.

Answer 1

circumference = 2*pi*r

if pi =3.14

18.85 = 2*3.14*r

18.85 = 6.28r

r=18.85/6.28=3.001..=3

volume :

`(4*\pi*r^3 )/(3)`

`(4*\pi3^3 )/(3) = (108\pi )/(3) = 113.097...=113.1`

Step-by-step explanation:

Answer 2

To calculate the volume of a sphere from its circumference, first determine the radius using the formula for circumference C = 2πr, then calculate the volume with V = (4/3)πr³, and round the result to the nearest tenth.

Step-by-step explanation:

To find the volume of a sphere given its circumference, we first need to calculate the radius of the sphere using the formula for circumference, which is C = 2πr. For a sphere with a circumference of 18.85, we solve for r such that 18.85 = 2πr. Therefore:

r = 18.85 / (2π)

Once we have the radius, we can calculate the volume of the sphere using the volume formula V = (4/3)πr³. Plugging in the radius we found, we can find the volume of the sphere in cubic units.

Remember to round to the nearest tenth when you arrive at your final answer.