if the height and the radius of a cone are tripled then find the ratio of volume of new cone and of that of original cone
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volume of original cone=1/3πr^2h
if the height and radius of the cone are tripled then the new height will be 3 h and the new radius will be 3 r respectively.
ratio =1/3πr^2h/1/3π(3r)^2x3h
=r^2h/9r^2x3h
r^2h is canceled from both the numerator and denominator.
= 1/9x3
= 1/27
= 1:27
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if the height and radius of the cone are tripled then the new height will be 3 h and the new radius will be 3 r respectively.
ratio =1/3πr^2h/1/3π(3r)^2x3h
=r^2h/9r^2x3h
r^2h is canceled from both the numerator and denominator.
= 1/9x3
= 1/27
= 1:27
Hope you liked the solution
please mark the brainliest.
Answered by
1
Answer:
The ratio of the volume of the new cone to the volume of the old cone is 27 : 1
Step-by-step explanation:
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