at a fair a stall keeper in one of the he food stalls has a large cylindrical vessel of base radius 15 cm filled up to a height of 32cm with orange juice the juice is filled in small cylindrical glasses of radius 3cm upto a height of 8cm and sold at rs.10 each how much money does the stall keeper receive by selling the juice completely .
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Answer:
Number of Glasses Sold = Volume of juice in vessel / volume of juice in 1 glass
Volume of juice in vessel
juice in vessel is in form of cylinder with
Radius = 15cm
Height = 32 cm
Volume of juice in the vessel = πr²h
= π× 15×15×32 cm³
Volume of juice in 1 glass
juice in glass is in form of cylinder with
Radius = 3cm
Height = 8 cm
Volume of juice in the vessel= πr²h
= π ×3 × 3× 8 cm³
Number of glasses sold = Volume of juice in vessel/ Volume of juice in 1 glass
= π × 15 ×15 × 32 /π ×3× 3×8
= 5 × 5× 4
= 100
Money received by selling 1 glass = Rs .3
Money received by selling 100 glass = 3 × 100
= Rs. 300
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