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How does the volume of a cone change if its radius and height are both tripled?

2 Answers

1 vote

Answer:

D. V=27πR^2H

Explanation:

E2020

User Emissary
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8.0k points
1 vote
The volume of a cone is pi(r2h)/3
If the radius and height are both tripled, plugging this into the equation gives us
pi(3h(3r)2)/3
=pi(3h9r2)/3
=27pi(r2h)/3
which is 27 times the initial volume.
Thus if the radius and height of a cone are tripled, the volume multiplies by 27.
User Javier Figueroa
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8.2k points