The sum of the radius of the base and height of a solid cylinder is 17 cm. If the total surface area of the solid cylinder is 748 cm2, then the height of the cylinder is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 10 cm.
Given:
(r + h) = 17
Total surface area = 748 cm2
Formula used:
Total surface area of the cylinder = 2πr(r + h) ---- (1)
Calculations:
Using equation (1), we get
⇒ Total surface area of the cylinder = 2 × (22/7) × r × (17)
⇒ 748 = 2 × (22/7) × r × (17)
⇒ r = 7
⇒ (r + h) = 17
⇒ h = 17 - 7 = 10 cm