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  • A school provides milk to the students daily in cylindrical glasses of diameter 7 cm. If the glass is filled with milk up to an height of 12 cm, find how many litres of milk is needed to serve 1600 students.

A school provides milk to the students daily in cylindrical glasses of diameter 7 cm. If the glass is filled with milk up to an height of 12 cm, find how many litres of milk is needed to serve 1600 students.

 

Answers (1)

Answer: 738.528\; \text {litre of milk}

Given that a school provides milk to the students daily in cylindrical glasses of diameter 7 cm

So glass is a cylinder with diameter = 7 cm

Radius of cylinder \left ( r \right )=\frac{d}{2}

                                     =\frac{7}{2}

                                     =3.5\; cm

Now milk is filled in this cylindrical glass.

Height of milk up to which the glass is filled (h) = 12 cm

So, volume of milk filled in the cylindrical glass

V=\pi r^{2}h          (r is the radius, h is the height up to which the milk is filled)

Putting the values,

V=\frac{22}{7}\times 3.5 \times 3.5 \times 12

\Rightarrow 461.58\; cm^{3}

Now, number of students=1600=Total number of glasses required

Volume of 1600 cylindrical glasses = 1600 (Volume of one glass)

                                                        =461.58 \times 1600

                                                        =738528\; cm^{3}

Now we know that 1 litre =1000\; cm^{3}

Volume of 1600 cylindrical glasses =\frac{738528}{1000}

                                                        =738.528\; litre

Hence, to serve 1600 students, we need 738.528\; \text {litre of milk}.

Posted by

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