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