Question

The radius r of a sphere is 6 units. Find the volume of the sphere. Write your answer in terms of . The volume is cubic units.​

Answer 1

Answer: V = 288π units³

Explanation:

We can use the given formula for the volume of a sphere. V is the volume and r is the radius.

V =
`(4)/(3)`πr³

We will substitute our known values and solve. Since we are being asked to write our answer in terms of π, we will not multiply π in with the rest of the values as a numerical value and will leave it as π.

V =
`(4)/(3)`πr³

V =
`(4)/(3)`π(6)³

V =
`(4)/(3)`π(216)

V =
`(4)/(3)` * π * (216)

V =
`(4)/(3)` * (216) * π

V = 288π units³

Your answer of 288 units³ is close to correct, but you cannot forget to write it in terms of π (288π units³).