Find the volume of a hemisphere whose diameter is 7 cm. (Take π = 22/7) (Rounded up to two decimal places)

Question

Question

This question was previously asked in

SSC GD Constable 2025 Official Paper (Held On: 07 Feb, 2025 Shift 1)

Answer 1

Given:

Diameter = 7 cm

Radius (r) = Diameter/2 = 7/2 = 3.5 cm

Formula used:

Volume of hemisphere = \(\dfrac{2}{3}\pi r^3\)

Calculation:

Volume of hemisphere = \(\dfrac{2}{3}\pi r^3\)

⇒ Volume = \(\dfrac{2}{3} \times \dfrac{22}{7} \times (3.5)^3\)

⇒ Volume = \(\dfrac{2}{3} \times \dfrac{22}{7} \times 42.875\)

⇒ Volume = \(\dfrac{2 \times 22 \times 42.875}{3 \times 7}\)

⇒ Volume = \(\dfrac{1886.5}{21}\)

⇒ Volume = 89.83 cm³

∴ The correct answer is option (3).

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