A water glass of cylindrical shape has a diameter of 4 cm and height of 10.5 cm. A water jug has a volume equal to 1716 cm3. How many water glasses can be filled with water from the water jug? (Use \pi=(22)/(7))

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MPPGCL JE Electrical 28 April 2023 Shift 2 Official Paper
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  1. 15
  2. 13
  3. 10
  4. 18

Answer (Detailed Solution Below)

Option 2 : 13
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Detailed Solution

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Given:

Diameter of cylindrical water glass = 4 cm

Height of cylindrical water glass = 10.5 cm

Volume of water jug = 1716 cm3

Formula Used:

Volume of cylinder = πr2h

where r → radius, h → height

Calculations

Radius of water glass = Diameter / 2 = 4 / 2 = 2 cm

Volume of one water glass = π × (2)2 × 10.5

⇒ (22 / 7) × 4 × 10.5 = 132 cm3

Number of water glasses that can be filled = Volume of water jug / Volume of one water glass

1716 / 132 = 13

Number of water glasses that can be filled with water from the water jug = 13

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