aarontran17 aarontran17
  • 03-06-2021
  • Mathematics
contestada

Find the radius of the sphere with the given volume. Show all work

Find the radius of the sphere with the given volume Show all work class=

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 03-06-2021

Answer:

r = 15

Step-by-step explanation:

Volume of a sphere is given by

V = 4/3 pi r^3

4500 pi = 4/3 pi r^3

Divide each side by pi

4500 = 4/3  r^3

Multiply each side by 3/4

3/4 *4500  = 3/4 *4/3  r^3

3375 = r^3

Take the cube root of each side

(3375)^(1/3) = (r^3)^(1/3)

15 = r

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