Question

3 points
14. In a school orange juice
was given to 2100 children in
cylinderical glasses of equal
size ,each of radius 5cm and
height 20cm, The quantity of
the juice given to the children
in liters will be (pi=22/7) *​

Answer 1

$\bigstar$ Given:

$\gg$ No. of children = 2100

$\gg$ Radius of the glass = 5 cm

$\gg$ Height of the glass = 20 cm

$\bigstar$ To Find:

The quantity of juice provided to all students in liters.

$\bigstar$ Analysis:

In this question, we will have to find the volume of one class and then multiply that volume to the no. of students. Converting the cm³ to m³ and then to liters, we will get the answer.

$\bigstar$ Solution:

Formula to find volume of cylinder = πr²h

Substituting the values,

$\sf{\dfrac{22}{7}\times5\times5\times20}$

$\sf{=\dfrac{11000}{7cm}cm^3}$

Total Amount of juice provided

$\sf{=\dfrac{11000}{7}\times2100}$

$\sf{=11000\times300}$

$\sf{=3300000cm^3}$

$\gg$ To convert cm³ to m³, multiply by 0.000001.

3300000cm³ x 0.000001 = 3.3m³

$\gg$ To convert m³ to liters, multiply by 1000.

3.3m³ x 1000 = 3300 liters

Therefore, 3300 liters of orange juice was provided to 2100 students in a school.

Important Formulae Used:

$\maltese$ Volume of a cylinder = πr²h

$\maltese$ To convert cm³ to m³, multiply by 0.000001.

$\maltese$ To convert m³ to liters, multiply by 1000.