Question

A juice seller has a large cylindrical vessel of base radius 15cm filled up to a height of 32cm with orange juice. The juice is filled in small cylindrical glasses of radius 3cm up to a height of 8cm and sold for Rs3 each. How much money did the shopkeeper make after selling the juice completely?

Answer 1

For large cylindrical vessel r=15,h=32
For small cylindrical glass r=3,h=8
No. of glass filed with juice=Volume of large cylindrical vessel ÷Volume of small cylindrical glass
pir^3h÷pir^2h
pi15×15×32÷pi3×3× 8
=100
Cost for one glass=3
Cost for selling 100 glas juice=100×3=300

Answer 2

$volume \: of \: large \: cylindrical \: vessel = \pi {r}^{2}h \\ volume \: of \: small \: cylindrical \: glass = \pi {r}^{2}h \\ = \pi {15}^{2} \times 32 \div \pi {3}^{2} \times 8 \\ = 225 \times 32 \div 9 \times 8 \\ = 7200 \div 72 \\ = 100 \\ = money \: did \: the \: shopkeeper \: make \: after \: selling \: the \: juice \: completely = 100 \times 3 \: rupees \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 300 \: rupees$