Correct option is C
Given:
Radius of the sphere = 14 cm
The sphere is cut into 6 equal parts along three diametrical planes.
Formula Used:
Surface area of a sphere =
Area of a circle =
Solution:
When a sphere is cut along a diametrical plane, two new circular surfaces are exposed.
Since the sphere is cut along three diametrical planes, there are 3 cuts in total.
Each cut exposes 2 circular surfaces, so 3 cuts expose 3 × 2 = 6 full circular surfaces.
Total newly exposed area =
Original spherical surface area =
Total surface area of all new pieces =
Substitute the values of and r:
Total surface area =
Total surface area =
Total surface area = 10 × 22 × 28
Total surface area = 220 × 28 = 6160 cm2
Final Answer
So the correct answer is (c)
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