Question

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

Answer 1

Answer:

Explanation:

Given :

• Diameter of cylindrical glasses (d) = 7 cm.
• Glass is filled with milk up to a height (h) = 12 cm.
• Number of students = 1600

To Find :

• How many litres of milk is needed to  serve 1600 students.

Solution :

★Radius of cylindrical glass,

$: \implies \tt \red{r = \dfrac{d}{2} } \\ \\ : \implies \tt r = \not\dfrac{7}{2} \\ \\ : \implies \tt \green{r = 3.5 \: cm}$

★Volume of cylindrical glass,

$: \implies \tt \red{volume = \pi r {}^{2} h} \\ \\ : \implies \tt volume = 3.14 \times 3.5 {}^{2} \times 12 \\ \\ : \implies \tt volume =3.14 \times 12.25 \times 12 \\ \\ : \implies \tt volume =3.14 \times 147 \\ \\ : \implies \tt \green{volume =461.58 \: cm {}^{3} }$

★How many litres of milk is needed to  serve 1600 students.

$: \implies \tt \red{ milk_{needed} = volume \: of \: cylindrical \: glass \times number \: of \: students} \\ \\ : \implies \tt \: milk_{needed} =461.58 \times 1600 \\ \\ : \implies \tt \: milk_{needed} = 738528 \: cm {}^{3} \\ \\ \because \tt \bigg(\: 1000 \: cm {}^{3} = 1 \: liter \bigg) \\ \\ : \implies \tt \: milk_{needed} = \dfrac{738528}{1000} \\ \\ : \implies \tt \green{ milk_{needed} =738.528 \: liter}$

Answer 2

$\huge\underbrace\mathcal\red{ANSWER♡}$

$\bf\underline{\underline{\green{GIVEN :}}}$

• Diameter (d) = 7 cm.
• Height (h) of the milk filled in the glass = 12 cm.
• Number of students = 1600

$\bf\underline{\underline{\red{TO FIND :}}}$

• How many litres of milk is needed to serve 1600 students.

$\bf\underline{\underline{\green{SOLUTION :}}}$

Radius of cylindrical glass,

$⇒ \: r \: = \: \frac{d}{2}$

$⇒ \: r \: = \: \frac{7}{2}$

$⇒ \: r \: = \: 3.5 \: cm$

Volume of cylindrical glass,

$⇒ \: volume \: = \: π {r}^{2}h$

$⇒ \: volume \: = \: 3.14 \times {3.5}^{2} \times 12$

$⇒ \: volume \: = \: 3.14 \times 147$

$⇒ \: volume \: = \: 461.58 \: {cm}^{3}$

Litres of milk needed to serve 1600 students,

$⇒ \: milk \: needed \: = \: volume \: of \: cylindrical \: glass \times no. \: of \: students$

$⇒ \: milk \: needed \: = \: 461.58 \times 1600$

$⇒ \: milk \: needed \: = \: 738528 \: {cm}^{3}$

$(1000 \: {cm}^{3} \: = \: 1 \: litre)$

$⇒ \: milk \: needed \: = \: \frac{738528}{1000}$

$⇒ \: milk \: needed \: = \: 738.528 \: litres$

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