At a Ramzan Mela, a stall keeper in one of the food stalls has a large cylindrical vessel of the base radius 15 cm filled upto a height of 32 cm with the orange juice. The juice is filled in small cylindrical glasses (see figure) of radius 3 cm upto a height of 8 cm and sold for Rs.15 each. How much money does the stall keeper receive by selling the juice completely?
Answers
Answer:
Cylinder,r=15cm,h=32cm<br> glass,r=3cm,h=8cm<br> Volume of total juice
=pir^2h
<br>
=pi*15*!5*32cm^3
<br> Volume of 1 glass
=pir^2h
<br>
=pi*3*3*8cm^3
<br> Number of glasses
=(15*15*32)/(3*3*8)=100
<br> Total money
=3*100=300Rs
.
Step-by-step of explanation:
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