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Consider the surface area of the following solids.

A. A cube of edge 9 cm.

B. A cuboid of edges 18 cm, 14 cm and 7 cm.

C. A cylinder with radius of 14 cm and height 80 cm.

D. A sphere with radius of 14 cm.

Arrange the above in decreasing order.

Solution

✅ Correct Option: 3

A: 6(9)2=4866(9)^2 = 486.

B: 2(18⋅14+14⋅7+18⋅7)=9522(18 \cdot 14 + 14 \cdot 7 + 18 \cdot 7) = 952.

C: 2πr(r+h)=2⋅227⋅14⋅94=82722\pi r(r+h) = 2 \cdot \frac{22}{7} \cdot 14 \cdot 94 = 8272.

D: 4πr2=4⋅227⋅196=24644\pi r^2 = 4 \cdot \frac{22}{7} \cdot 196 = 2464.

Decreasing order: C, D, B, A.

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