A cube of edge 5 cm carries a hemisphere of diameter 4.2 cm on top. Using pi = 22/7, find the block's surface area.
A150 cm2
B313.86 cm2
C136.14 cm2
D163.86 cm2
Answer & Solution
Correct answer: D. 163.86 cm2
1. Cube TSA = 6 × 25 = 150 cm2.
2. Subtract base πr2 and add curved 2πr2, net +πr2 = (22/7) × 2.1 × 2.1 = 13.86.
3. Total = 150 + 13.86 = 163.86 cm2.
_Source: NCERT Class 10 Mathematics, Chapter 12 Surface Areas and Volumes, Example 2_
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