A juiceseller has a large cylindrical vessel of base radius 15 cm filled up to a height of 32 cm with orange juice.
Question:

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 received by selling the juice completely?

Solution:

Radius of the vassel, R = 15 cm

Height of orange juice in the vassel, H = 32 cm

$\therefore$ Volume of orange juice in the vassel $=\pi R^{2} H=\pi \times(15)^{2} \times 32 \mathrm{~cm}^{3}$

Radius of the glass, r = 3 cm

Height of orange juice in the glass, h = 8 cm

$\therefore$ Volume of orange juice in each glass $=\pi r^{2} h=\pi \times(3)^{2} \times 8 \mathrm{~cm}^{3}$

Number of glasses of orange juice sold by the juiceseller 

$=\frac{\text { Volume of orange juice in the vassel }}{\text { Volume of orange juice in each glass }}$

$=\frac{\pi \times(15)^{2} \times 32}{\pi \times(3)^{2} \times 8}$

$=100$

Rate of each glass of orange juice = ₹ 15

∴ Total money received by the juiceseller

= Number of glasses of orange juice sold by the juiceseller × Rate of each glass of orange juice

= 100 × 15

= ₹ 1,500

Thus, the total money received by the juiceseller by selling the juice completely is ₹ 1,500.

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