Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

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

Options:

12.5 cm

10.5 cm

10 cm

12 cm

Correct Answer:

10.5 cm

Explanation:

We know that,

Surface area of sphere = 4πr2

Given,

Surface area of sphere = 1,386 cm2

= 1,386 cm2 = 4 × \(\frac{22}{7}\) × r2 

= (1,386 × 7) × \(\frac{1}{4 × 22}\) = r2

= (63 × 7) × \(\frac{1}{4}\) = r2

=  \(\frac{441}{4}\) = r2

r = \(\frac{21}{2}\)

r = 10.5 cm