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Probability

Question
CBSEENMA9003720
Wired Faculty App

A hemispherical bowl of internal diameter 36 cm contains a liquid. This liquid is to be filled in cylindrical bottles of radius 3 cm and height 6 cm. How many bottles are required to empty the bowl?

open square brackets Use space straight pi equals 22 over 7 close square brackets

Solution
For bowl
            Radius (R) = 36 over 2 equals 18 space cm
therefore       Volume = 4 over 3 πR cubed equals 4 over 3 straight pi left parenthesis 18 right parenthesis cubed space cm cubed

For bottle
r = 3 cm h = 6 cm
∴ Volume = πr squared straight h
= π (3)2 (6) cm3 Let n bottles be required. Then,
nπ left parenthesis 3 right parenthesis cubed left parenthesis 6 right parenthesis equals 4 over 3 straight pi left parenthesis 18 right parenthesis cubed rightwards double arrow space space space space space space straight n space equals space 144

Some More Questions From Probability Chapter

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(i) The area of the sheet required for making the box.
(ii) The cost of sheet for it, if a sheet measuring 1 m2 costsर 20.

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(i) Which box has the greater lateral surface area and by how much?

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(i) Which box has the greater lateral surface area and by how much?

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(i)    What is the area of the glass?
(ii)    How much of tape is needed for all the 12 edges?

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