Question

A large cylindrical vessel of diameter 20cm filled up to the height of 32cm with milk. The milk is filled in small cylindrical glasses of radius 2 cm ,up to height of 8cm and sold for rupees 7 each. How much money does the shopkeeper received by selling the milk completely?

Answer 1

Answer:

The shopkeeper received by selling the milk completely is RS 700

Step-by-step explanation:

Volume of cylinder with radius r and height h

$V=pir^{2}h$

To find the volume of large cylindrical vessel

It is given that, diameter 20cm then radius r = 10 cm

height h = 32 cm

Volume  $V=pir^{2}h$

$V1=pi10^{2}*32$

To find the volume ofsmall cylindrical vessel

It is given that, radius r = 2 cm

height h = 8 cm

Volume  $V=pir^{2}h$

$V2=pi2^{2}*8$

To find the number of small cylindrical glasses

number of glasses= V1/V2

$\frac{V1}{V2}=\frac{pi10^{2}32}{pi2^{2}*8}$

number of glasses = 100

To find the money by shopkeeper

Each glass is sold for Rs7

Therefore total money = 7 x 100 = Rs 700

Answer 2

Answer:

700 rupees

Step-by-step explanation:

Volume of cylinder is given by = π*r²*h,

where 'r'  the radius of the base and

'h' the height of cylinder.

Given diameter of cylindrical vessel,d  = 20cm,

 =>radius = d/2 = 10 cm

So, volume of cylindrical vessel = π*10²*32 cm³

Volume of cylindrical glass = π*2²*8 cm³

Total number of cylindrical glasses = π*10²*32/π*2²*8

                = 5²*4 = 100

Given, each glass is sold for 7 rupees,

 so total money shopkeeper would receive will be 100*7 =700.