Question

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

Answer 1

5m

Explanation:

Answer 2

Radius of the sphere is 5m.

Explanation:

We have given the volume of sphere
`(500)/(3)\cdot {\pi}m^3`

we have to find the radius of the sphere

`\text{volume of sphere is }=(4)/(3)\cdot {\pi}\cdot r^3`

On substituting the given value of volume of sphere we get

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

After simplification we get:

`\Rightarrow 4\cdot r^3=500`

`\Rightarrow r^3=125`

`\Rightarrow r=5`

Hence, the radius of sphere is 5m