solort811 solort811
  • 20-11-2019
  • Mathematics
contestada

The volume of a sphere is 4,000π m3. What is the diameter of the sphere to the nearest meter?

Respuesta :

CPED
CPED CPED
  • 20-11-2019

Answer:

diameter = 29 m

Step-by-step explanation:

Given that:

volume of a sphere = 4,000π m3.

WE know that:

volume of a sphere = 4/3 πr^3

So equating both equations:

4/3 πr^3 =  4,000π m3.

Multiplying both sides by 3/4

πr^3 =  3/4*4,000π m3.

πr^3 =  3/4*4,000π m3.

πr^3 =  3,000π m3.

Dividing both sides by π

r^3 =  3,000 m3.

Taking cube root on both sides

r = 14.38 m

For finding diameter:

diameter = r * 2

diameter = 28.768 m

By rounding off:

diameter = 29 m

i hope it will help you!

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