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Q.

The height of a glass tumbler is 12 cm. The radius of its circular base is 3 cm and that of its rim is 4 cm. The volume of the tumbler is :

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a

454.76 ml

b

459.86 ml

c

473.82 ml

d

464.95 ml

answer is B.

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Detailed Solution

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In triangle COA and CPB.

COCB=OAPB=43 ⇒3CO=4CB ⇒3CB+3×12=4CB ⇒CB=36

The volume of the glass tumbler 

=13π42×48-32×36 =464.95 mL

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