Question

A cylinder, a cone and a sphere are of the same base and height. Find the ratio of their volumes​

Answer 1

Answer:

Step-by-step explanation:

We have,

A cylinder = A cone = A hemisphere =same height

A cylinder = A cone = Ahemisphere = asme are

then,

we know that

Cylinder volume = πr^2 h=V_1

Cone volume=1/3 πr^2 h=V_2

Hemisphere volume = 3/2 πr^2 h=V_3

when h= height

r=radius of Base

According to given question,

$V_1:V_2:V_3=\pi r^2h;\frac{1}{3} \pi r^2h:\frac{2}{3} \pi r^2$

$V_1:V_2:V_3=3:1:2$

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