A sphere of radius 5 cm just fits inside a cube (touching all faces). The edge of the cube equals the diameter of the sphere. Find, to the nearest whole number, how much larger the cube's total surface area is than the sphere's surface area (take π = 3.14). (CSA = curved surface area, TSA = total surface area)
Class 9Surface Area of a SphereMensuration
A286cm2
B314cm2
C600cm2
D100cm2
Step-by-Step Solution
Cube edge = 2r=10 cm. Cube TSA =6∗102=600cm2. Sphere SA =4×3.14×25=314cm2. Difference =600−314=286cm2.
Answer: A) 286cm2
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