A cylindrical glass of radius 7 cm is filled with mango juice up to a height of 17 cm when carefully, observed, the bottom of glass is covered by a transparent cone of height 6 cm and radius 7 cm. What is the actual volume of juice ?

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Solution

Volume $=$ volume $-$ volume of juice of cylinder of cone.
$= π (7)^{2} (17) - \frac{1}{3} π (7)^{2} (6)$
$= π (49) (17) - π (49) (2)$
$= π (49) (17 - 2)$
$= π (49) (15) = 2309.07 c m^{3}$ .

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A cylindrical glass of radius 7 cm is filled with mango juice up to a height of 17 cm when carefully, observed, the bottom of glass is covered by a transparent cone of height 6 cm and radius 7 cm. What is the actual volume of juice ?

Volume = volume − volume of juice of cylinder of cone.=π(7)2(17)−13π(7)2(6)=π(49)(17)−π(49)(2)=π(49)(17−2)=π(49)(15)=2309.07cm3.

Volume $=$ volume $-$ volume of juice of cylinder of cone.
$= π (7)^{2} (17) - \frac{1}{3} π (7)^{2} (6)$
$= π (49) (17) - π (49) (2)$
$= π (49) (17 - 2)$
$= π (49) (15) = 2309.07 c m^{3}$ .