A conical dome of a palace is supported by a
cylindrical pillar, both having the same radius. If
the ratio of heights of cylinder to cone is 4:3, the
ratio of their volumes is
a. 2:1
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A conical dome of a palace is supported by a
cylindrical pillar, both having the same radius. If
the ratio of heights of cylinder to cone is 4:3, the
ratio of their volumes is
a. 2:1
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Verified answer
Answer:
1:4
Step-by-step explanation:
Let the height of cone =3x
and height of cylinder= 4x
Volume of cone= [tex]\frac{1}{3}[/tex]×h×[tex]\pi[/tex]²===x
Volume of cylinder =[tex]\pi ^{2}[/tex]h===4x
Ratio=1:4
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