Find the surface area of a sphere whose diameter is equal to 112 cm.

Question

Question

This question was previously asked in

RRB NTPC Graduate Level CBT-I Official Paper (Held On: 06 Jun, 2025 Shift 2)

Answer 1

Given:

Diameter of the sphere (d) = 112 cm

Formula used:

Radius (r) = \(\frac{d}{2}\)

Surface area of a sphere = \(4\pi r^2\)

Value of \(\pi = \frac{22}{7}\)

Calculations:

Radius (r) = \(\frac{112}{2}\)

⇒ r = 56 cm

Surface area of the sphere = \(4 \times \frac{22}{7} \times (56)^2\)

⇒ Surface area = \(4 \times \frac{22}{7} \times 56 \times 56\)

⇒ Surface area = \(4 \times 22 \times 8 \times 56\)

⇒ Surface area = \(88 \times 448\)

⇒ Surface area = 39424 cm²

∴ The surface area of the sphere is 39424 cm².

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