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

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

A.

36,976 cm²

B.

38,980 cm²

C.

37,948 cm²

D.

39,424 cm²

Correct option is D

Given:
The diameter of the sphere is 112 cm.
Formula Used:
Surface area of a sphere = 4π r²
where r is the radius of the sphere.
Solution:
Radius r is half of the diameter.
r=1122=56 cmr = \frac{112}{2} = 56 \, \text{cm}
Surface Area = =4×227×(56)2=4×227×3136=39424 cm2= 4 \times \frac{22}{7} \times (56)^2 = 4 \times \frac{22}{7} \times 3136 = 39424 \, \text{cm}^2


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