Question

7. A conical container holds 2.2 litres of water .find its height, if the diameter of its base is
20cm.​

Answer 1

Answer:

Conversion Factor: 1 cm³ = 1 ml

Volume of a cone = 1/3 ( πr²h )

According to the question,

• r = 10 cm
• h = ?

Volume of given conical container = 2.2 liters = 2200 ml

⇒ 1/3 × 22/7 × 10 × 10 × h = 2200 cm³

⇒ 2200/21 × h = 2200

⇒ h = 2200 × 21/2200

⇒ h = 21 cm

Therefore the height of the conical container is 21 cm.

Answer 2

Solutions:

Vol. of a cone = 1/3πr²h

r = 10cm

h = ?

Vol. of conical container = 2.2 liter.

1/3πr²h = 2200cm³

1/3 × 22/7 × 10² × h = 2200

2200/21 × h = 2200

2200 × h = 2200 × 21

h = 2200 × 21 / 2200

h = 21cm

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