Mensuration Practice Test 7

Question : 32 of 40

Marks: +1, -0

If a solid cone of volume 27π

cm^3

is kept inside a hollow cylinder whose radius and height are that of the cone, then the volume of water needed to fill the empty space is:

Solution:

Volume of the cone = 27π =

1/3 πr^2h

Volume of the cylinder =

πr^2h

1/3 πr^2h

= 27π

πr^2h

81π

Volume of the empty space = 81π - 27π = 54π

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