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1. If the height of a cone is doubled and its radius is halved, find the ratio of the volume of
the new cone to that of the original cone.
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Answer:
The ratio of volume of new cone and original cone is 8:1.
Step-by-step explanation:
volume of original cone : 1/3 π r^2h
the height and radius of a cone is doubled.
height of new cone = 2h
radius of new cone = 2r
volume of new cone = 1/3 1(2r)^2 2h
now find ratio of volume of new cone and the original cone
new cone:original cone
1/3 1(2r)^2 2h : 1/3 π r^2h
= 8:1
therefore, The ratio of volume of new cone and original cone is 8:1.
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