The radii of the base of a cylinder and a cone are in the ratio \sqrt3 : \sqrt2 and their heights are in the ratio \sqrt2 : \sqrt3. Their volumes are in the ratio of:

Mensuration Practice Test 4

Question : 39 of 40

Marks: +1, -0

The radii of the base of a cylinder and a cone are in the ratio

√3 : √2

and their heights are in the ratio

√2 : √3

. Their volumes are in the ratio of:

Solution:

Radii of cylinder R =

√3

Radii of cone r =

√2

Height of cylinder H =

√2

Height of cone h =

√3

Ratio of volumes =

πR^2H : 1/3 πr^2 h

π(√3)^2 √2 : 1/3 π(√2)^2 √3

3√2 : 1/3 2√3

√3 : √2/3

3√3 : √2

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