If the surface area of a sphere is 1386 cm², then find the radius of the sphere.

Question

Question

This question was previously asked in

SSC CHSL 2021 (Held On : 24 May 2022 Shift 3)

Answer 1

GIVEN:

The surface area of a sphere = 1386 \(cm^2\)

FORMULA USED:

The surface area of a sphere = 4πr²where r is the radius of the sphere.

CALCULATION:

The surface area of a sphere =4πr2 = 1386

⇒ 4 × (22/7) × r² = 1386 ....(value of \(\pi\) is \(\frac{22}{7}\))

⇒ r2 = 110.25

⇒ r2 = \(\frac{11025}{100}\)

⇒ r = \(\sqrt\frac{11025}{100}\) = \(\frac{105}{10}\) = 10.5 cm.

∴ The radius of the sphere is 10.5 cm.

Download Solution PDF