SSC MTS - 28/10/2024 - (12:30 PM - 2:30 PM)

28 October 2024 • 90 questions

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Question 1 / 90

What is the height of a solid cylinder whose radius is 7 cm and whose total surface area is 704 cm2? (Use π = 22722\over7)

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3, i.e., 9 cm.

Total surface area of cylinder = 2 × π × r × (r + h)

= 704, r = 7, π = 22/7

2 × (22/7) × 7 × (7 + h) = 704

2 × 22 × (7 + h) = 704

44 × (7 + h) = 704

7 + h = 704 ÷ 44 = 16

h = 16 − 7 = 9 cm

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