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# 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?

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Solution

## Radius of the vassel, R = 15 cm Height of orange juice in the vassel, H = 32 cm ∴ Volume of orange juice in the vassel = $\mathrm{\pi }{R}^{2}H=\mathrm{\pi }×{\left(15\right)}^{2}×32{\mathrm{cm}}^{3}$ Radius of the glass, r = 3 cm Height of orange juice in the glass, h = 8 cm ∴ Volume of orange juice in each glass = $\mathrm{\pi }{r}^{2}h=\mathrm{\pi }×{\left(3\right)}^{2}×8{\mathrm{cm}}^{3}$ Number of glasses of orange juice sold by the juiceseller $=\frac{\mathrm{Volume}\mathrm{of}\mathrm{orange}\mathrm{juice}\mathrm{in}\mathrm{the}\mathrm{vassel}}{\mathrm{Volume}\mathrm{of}\mathrm{orange}\mathrm{juice}\mathrm{in}\mathrm{each}\mathrm{glass}}\phantom{\rule{0ex}{0ex}}=\frac{\mathrm{\pi }×{\left(15\right)}^{2}×32}{\mathrm{\pi }×{\left(3\right)}^{2}×8}\phantom{\rule{0ex}{0ex}}=100$ 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.  Suggest Corrections  0      Similar questions  Related Videos   Volume of Solids
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