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Find the surface area of a sphere whose diameter is equal to 14 cm.
Question

Find the surface area of a sphere whose diameter is equal to 14 cm.

A.

1104π cm²

B.

34π cm²

C.

1102π cm²

D.

196π cm²

Correct option is D

Given:

Diameter of sphere = 14 cm

Radius r = 142 \frac{14}{2}​ = 7 cm

Formula Used:

Surface Area of a sphere = 4πr24\pi r^2​​

Solution:

Surface Area of a sphere = 4×227×724 \times \frac{22}{7} \times 7^2​​

=4×227×49 =196π cm2= 4 \times \frac{22}{7} \times 49 \\ \ \\= 196\pi\, \text{cm}^2​​

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