Question

The volume of a sphere is 500
3
πcm3. What is the radius?

Answer 1

about 4.9 cm

Explanation:

The equation for the volume of a sphere is V=
`(4)/(3)\pi r^3` . So, to solve this problem we will plug in 500 for V and solve for the radius,
`r`.

1. 500=
   `(4)/(3) \pi r^3`
2. Multiply both sides by 3:
   `1500=4\pi r^3`
3. Divide both sides by 4:
   `375=\pi r^3`
4. Divide both sides by
   `\pi`:
   `(375)/(\pi ) =r^3`
5. Find the cubed root of both sides:
   `4.9237=r`
6. The radius is about 4.9 cm

Answer 2

Explanation:

The volume of a sphere is 500 3 πcm3. what is the radius? sphere v = 4 3 πr3 1. substitute value into formula:   500 3 π = 4 3 πr3 2. undo multiplication of 4 3 :     125π = πr3 3. undo multiplication of π:     125 = r3 4. undo cube:          3√125 = r the radius of the sphere is 6 ⇒ 5 cm