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Scilla [17]
3 years ago
6

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
Mathematics
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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