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A cone is 14cm deep and the base radius is 41/2cm. Calcul...

A cone is 14cm deep and the base radius is 41/2cm. Calculate the volume of water that is exactly half the volume of the cone.[Take π = 22/7]

A.

49.5cm3

B.

99cm3

C.

148.5cm3

D.

297cm3

E.

445.5cm3

Correct answer is C

Volume of a cone = 13πr2h

r = 412 cm; h = 14 cm

Volume of cone = 13×227×92×92×14

= 297 cm3

When half- filled, the volume of the water = 2972=148.5cm3