laoluthomasalex
laoluthomasalex laoluthomasalex
  • 09-07-2020
  • Mathematics
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A child reshapes a cone made up of China clay of height 24 and radius 6 into a sphere.
The radius of the sphere is...
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A child reshapes a cone made up of China clay of height 24 and radius 6 into a sphereThe radius of the sphere is class=

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RVADAMARAJANCHITHRA
RVADAMARAJANCHITHRA RVADAMARAJANCHITHRA
  • 09-07-2020

Answer:

6

Step-by-step explanation:

Volume of the cone = V=πr2h ^3=π·62·24 ^3≈904.77868

So, the volume of the sphere, will be the same too:

904.78 = 4/3 x pi x r^3

Solve:

904.78 = 4.18 x r^3

r^3 = 904.78 divided by 4.18

r^3 = 216.45

r = cube root of 216(approximate) = 6.

Hope this helps.

Good Luck

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