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3 years ago

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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 πr

3 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

2 answers:

Soloha48 [4]3 years ago

8 0

Answer:

5m

Step-by-step explanation:

Kisachek [45]3 years ago

7 0

Answer:

Radius of the sphere is 5m.

Step-by-step explanation:

We have given the volume of sphere $\frac{500}{3}\cdot {\pi}m^3$

we have to find the radius of the sphere

$\text{volume of sphere is }=\frac{4}{3}\cdot {\pi}\cdot r^3$

On substituting the given value of volume of sphere we get

$\frac{500}{3}\cdot {\pi}=\frac{4}{3}\cdot {\pi}\cdot r^3$

After simplification we get:

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

$\Rightarrow r^3=125$

$\Rightarrow r=5$

Hence, the radius of sphere is 5m

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