liliaboop4147 liliaboop4147
  • 14-05-2018
  • Mathematics
contestada

If the height of a cone is cut in half, the volume of the cone is multiplied by what number?

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MsEHolt MsEHolt
  • 23-05-2018
The volume would be multiplied by 1/2 as well.

The volume of a cone is given by the formula

V=(1/3)πr²h.

Replacing h with (1/2)h, we have

V = (1/3)πr²(1/2)h

Using the commutative property, we can rewrite this as

V=(1/3)(1/2)πr²h
V=(1/6)πr²h

This is the same as multiplying the volume by 1/2.
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