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Probability

Question
CBSEENMA9003680
Wired Faculty App

A conical vessel whose internal radius is 5 cm and height 63 cm is full of oil. Find the the volume of the oil. If that oil is emptied into a cylindrical vessel with internal radius 10 cm, find the height of the oil in the cylindrical vessel.

Solution

For conical vessel
r = 5 cm h = 63 cm
∴ Volume of the oil
equals 1 third πr squared straight h equals 1 third.22 over 7.5.5.63 equals 1650 space cm cubed
Let the required height be 4 cm. Then, according to the question, π(10)2H = 1650
rightwards double arrow space space 22 over 7 cross times 100 straight H equals 1650 rightwards double arrow space space space straight H equals fraction numerator 1650 cross times 7 over denominator 22 cross times 100 end fraction equals 5.25 space cm

Some More Questions From Probability Chapter

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