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Consider the surface area of the following solids.

A. A cube of edge 4 cm.

B. A cylinder with a diameter of base 14 cm and height 35 cm.

C. A hemisphere with 28 cm diameter.

D. A sphere with a radius of 7 cm.

Arrange the above in decreasing order and choose the correct answer from the options given below:

Solution

✅ Correct Option: 3

A: cube, 6×42=966 \times 4^2 = 96 sq cm.

B: cylinder, r=7r = 7, h=35h = 35, total =2πr(r+h)=1848= 2\pi r(r+h) = 1848 sq cm.

C: hemisphere, r=14r = 14, curved =2πr2=1232= 2\pi r^2 = 1232 sq cm.

D: sphere, r=7r = 7, 4πr2=6164\pi r^2 = 616 sq cm.

Decreasing order: B, C, D, A.

Note: For the hemisphere the question does not specify curved or total surface area; the ordering is the same either way.

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