Question

424
.
24. A juiceseller has a large cylindrical vessel of base radius 15 cm filled
up to a height of 32 cm with orange juice. The juice is filled in small
cylindrical glasses of radius 3 cm up to a height of 8 cm, and sold
for 15 each. How much money does he receive by selling the juice
completely?
​

Answer 1

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Maths

A juice seller has a large cylindrical vessel of base radius 15 cm filled up to a height of 32 cm with orange juice. The juice is filled in small cylindrical glasses of radius 3 cm up to a height of 8 cm, and sold for Rs 15 each. How much money does he receive by selling the juice completely?

Answer

The dimensions of the cylindrical vessel

Radius =15 cm

Height =32cm

We know that Volume of cylindrical vessel =πr

2

h

By substituting the values

Volume of cylinder vessel =

7

22

×(15)

2

×32

So we get

Volume of cylindrical vessel =22628.571 cm

3

The dimensions of cylindrical glass are

Radius =3cm

Height =8cm

We know that

Volume of each small cylindrical glass =πr

2

h

By substituting the values

Volume of each small cylindrical glass =

7

22

×(3)

2

×8

So we get

Volume of each small cylindrical glass =226.28 cm

3

So the number of small glasses filled = volume of cylindrical vessel / volume of each glass

By substituting the values

Number of small glasses filled =

226.28

22628.571

=100

It is given that

Cost of one glass =Rs.15

So the cost of 100 glasses =Rs(15×100)=Rs.1500

Therefore, the juice seller receives Rs.1500 by selling 100 glasses of orange juice.