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Every day, milk is served to students in cylindrical glasses with a radius of 3.5 cm. How many litres of milk are required to serve 1600 students if the glass is filled to a height of 12 cm?

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738.528

c m^{3}

438.528

c m^{3}

338.528

c m^{3}

638.528

c m^{3}

answer is A.

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Detailed Solution

Given, a school provides milk to the students daily in cylindrical glasses of radius 3.5 cm.
The glass is filled up to the height of 12 cm.
We know that the volume of a cylinder is

π r^{2} h = π (3.5)^{2} (12)

= 461.58 c m^{3}

We know that 1 lit = 1000

c m^{3}

.
Hence, the volume of milk in one glass is 0.46158

c m^{3}

.
The volume of milk in 1600 glasses is 1600

\times

0.46158 = 738.528

c m^{3}

.
Hence, option 1 is correct.

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