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in Surface Areas And Volumes by (58.8k points)

A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7cm. If the bowl is filled with soup to a height of 4cm, how much soup the hospital has to prepare daily to serve 250 patients?

1 Answer

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Best answer

It is given that

Diameter of the bowl = 7cm

We know that

Radius of the bowl = 7/2 = 3.5cm

Height = 4cm

We know that

Volume of soup in one bowl = πr2h

By substituting the values

Volume of soup in one bowl = (22/7) × (3.5)2 × 4

So we get

Volume of soup in one bowl = 154cm3

So the volume of soup in 250 bowls = 250 × 154

On further calculation

Volume of soup in 250 bowls = 38500 cm3 = 38.5 litres

Therefore, the hospital must prepare 38.5 litres of soup daily to serve 250 patients.

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