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Arpit Emran Hegde
Asked: 2022-11-01T01:32:56+05:30 In:

The radius and height of a cylinder are in the ratio 4 : 7 and its volume is 2816 cm3. Find its radius. (Take π = \(\frac {22} 7\))
1. 5 cm
2. 7 cm
3. 6 cm
4. 8 cm

The radius and height of a cylinder are in the ratio 4 : 7 and its volume is 2816 cm3. Find its radius. (Take π = \(\frac {22} 7\))
1. 5 cm
2. 7 cm
3. 6 cm
4. 8 cm
Spectroscopy
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1 Answer

  1. Correct Answer – Option 4 : 8 cm

    Given:
    Ratio of the radius and the height = 4 : 7
    Volume of a cylinder = 2816 cm3

    Concept used:
    Volume of a cylinder = π × r2 × h

    Calculation:
    Let the radius and the height of a cylinder be 4x and 7x respectively.
    ⇒ 22/7 × (4x)2 × 7x = 2816
    ⇒ 16x2 × 7x = (2816 × 7)/22
    ⇒ (16 × 7)x3 = 128 × 7
    ⇒ x3 = (128 × 7)/(16 × 7)
    ⇒ x3 = 8
    ⇒ x = 2
    Radius = 4 × 2 = 8 cm
    ∴ The radius of a cylinder is 8 cm.

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