Question

The volume of a sphere is 904.32 cubic millimeters. What is its radius?

Answer 1

`radius = 6mm`

Step-by-step explanation:

Volume of a sphere.

Use this formula

`v = (4)/(3) \pi {r}^(3)`

Now solve for r

`r = (3 (v)/(4\pi) ) ^{ (1)/(3) } \\ = (3 * (904.32)/(4 * \pi) ) ^{ (1)/(3) } \\ ≈</p><p></p><p>5.99899mm</p><p>`

Answer 2

Hello!

Answer:

`\boxed{ \bf The~radius~of~the~sphere~is~6~mm.}`

Step-by-step explanation:

We know that:

V =
`(4)/(3)`πr³

904.32 =
`(4)/(3)`πr³

To figure out the radius, we have to undo the above. We can undo the fraction by multiplying by it's reciprocal:

`(3)/(4)` ×
`(904.32)/(1)` =
`(4)/(3)`πr³ ×
`(3)/(4)`

678.24 = πr³

Next, we're going to divide both sides by pi:

`(678.24)/(\pi ) = (\pi r^(2) )/(\pi )`

215.90 = r³

To undo the, we must find the cube root of 215.90.

r = 6