SSC MTS 2024 · PYQ · Mensuration · medium
The total surface area of a solid cylinder of radius 8 cm is 704 cm². Find the volume of the cylinder. (Use π = 22/7)
Answer
The correct answer is D: 1206(6/7) cm³. TSA = 2πr(h+r) = 704; 2×(22/7)×8×(h+8) = 704, h+8=14, h=6. Volume = πr²h = (22/7)×64×6 = 1206(6/7) cm³.
- A.1106(6/7) cm³
- B.1602(6/7) cm³
- C.1026(6/7) cm³
- D.1206(6/7) cm³✓ Correct
TSA = 2πr(h+r) = 704; 2×(22/7)×8×(h+8) = 704, h+8=14, h=6. Volume = πr²h = (22/7)×64×6 = 1206(6/7) cm³.
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