Find the difference between the curved surface area and total surface area of a right circular cylinder having a length of 68 cm and base diameter of 28 cm.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 1232 cm2.
Height of the cylinder (h) = 68 cm
The diameter of the base (d) = 28 cm
Radius (r) = 28/2 = 14 cm
the curved surface area of a cylinder = 2πrh
CSA = 2 × 22/7 × 14 × 68 = 5984 cm2
the total surface area of a cylinder = 2πr(h + r)
⇒ 2 × 22/7 × 14 (68 + 14) = 7216 cm2
Difference = TSA − CSA = 7216 - 5984 = 1232 cm2