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 ₹ 15 each. How much money does he receive by selling the juice completely?
ANSWER:
The dimensions of the cylindrical vessel
Radius = 15cm
Height = 32cm
We know that
Volume of cylindrical vessel = πr2h
By substituting the values
Volume of cylindrical vessel = (22/7) × (15)2 × 32
So we get
Volume of cylindrical vessel = 22628.571 cm3
The dimensions of cylindrical glass are
Radius = 3cm
Height = 8cm
We know that
Volume of each small cylindrical glass = πr2h
By substituting the values
Volume of each small cylindrical glass = (22/7) × (3)2 × 8
So we get
Volume of each small cylindrical glass = 226.28 cm3
So the number of small glasses filled = volume of cylindrical vessel/ volume of each glass
By substituting the values
Number of small glasses filled = 22628.571/226.28 = 100
It is given that
Cost of 1 glass = ₹ 15
So the cost of 100 glasses = ₹ (15 × 100) = ₹ 1500
Therefore, the juice seller receives ₹ 1500 by selling 100 glasses of orange juice.
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