A cylindrical tank is filled by pumping water from a cuboidal tank of dimensions 200cm × 150cm × 95 cm. The radius of the cylindrical tank is 60cm and height is 95cm. Find the height(in m) of the water left in the cuboidal tank after the cylindrical tank is completely filled. (Take $π$ = 3.14)

0.76 m

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0.69 m

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0.59 m

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0.45 m

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Solution

The correct option is C
0.59 m

Volume of the cylindrical tank = $π r^{2} h = (3.14) \times (0.6)^{2} \times 0.95 m = 1.07 m^{3}$
Volume of the Cuboidal tank when full = l × b × h = (2m × 1.5m × 0.95m) = 2.85 $m^{3}$
Volume of water left in the cuboidal tank after completely filling the cylindrical tank = 2.85 – 1.07) = 1.78 $m^{3}$
Height of water left in cuboidal tank = $\frac{V o l u m e o f w a t e r l e f t i n c u b o i d a l t a n k}{l \times b} = \frac{1.78}{2 \times 1.5}$ = 0.59m

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A cylindrical tank is filled by pumping water from a cuboidal tank of dimensions 200cm × 150cm × 95 cm. The radius of the cylindrical tank is 60cm and height is 95cm. Find the height(in m) of the water left in the cuboidal tank after the cylindrical tank is completely filled. (Take π = 3.14)

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