Question

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

Answer 1

Answer:

739.2 litres milk is needed to serve 1600 students.

Step-by-step explanation:

Given :-

• A school provides milk to students daily in a cylindrical glass of diameter 7 cm.
• The glass is filled up to a height of 12 cm.

To find :-

• How many litters of milk is needed to serve 1600 students?

Solution :-

Diameter of the cylindrical glass= 7 cm

Then,

• Radius of the cylindrical glass = 7/2 cm

Height of the cylindrical glass = 12 cm

Formula used :

${\boxed{\sf{Volume\:of\: cylinder=\pi\:r^2h}}}$

Volume of cylindrical glass,

= πr²h

=[ (22/7) × (7/2) × (7/2) × 12 ] cm³

= (11×7×6) cm³

=462 cm³

Then,

Total milk of 1600 students,

= (462 × 1600 ) cm³

= 739200 cm³

= 739200/1000 cm³

= 739.2 Litres

Therefore, 739.2 litres milk is needed to serve 1600 students.

Answer 2

$\bf{\underline{\underline{Question:-}}}$

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

$\bf{\underline{\underline{Given:-}}}$

• Diameter of glass = 7cm
• Radius of glass = 7/2 = 3.5 cm
• Glass filled up to 12cm

$\bf{\underline{\underline{Find:-}}}$

• How many litre of milk served in 1600 students

$\bf{\underline{\underline{Solution:-}}}$

• † Volume of cylinder = πr²h
• Milk contained in glass = volume of glass

$\sf :→ Milk\:contained\: in\: glass = \dfrac{22}{7}×3.5×3.5×12$

$\sf :→ Milk\:contained\: in\: glass= 22 × 0.5×3.5×12$

$\sf :→ Milk\:contained\: in\: glass = 462cm^2$

$\bf{\underline{\underline{Now:-}}}$

† Milk required for 1600 student = 462 × 1600

† Milk required for 1600 student = 739200 cm³

$\bf{\underline{\underline{We\:know:-}}}$

$\sf † \:1cm^3 = \dfrac{1}{1000L}$

$\sf :→ \dfrac{739200×1}{1000}$

$\sf :→ 739.2 \:litre$

$\bf{\underline{\underline{Hence:-}}}$

• Milk required for 1600 student to serve is 739.2 L