The ratio of the lateral surface area to the total surface area of a cylinder with base diameter 60cm and height 10 cm is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 1:4.
Lateral Surface Area (LSA) of a cylinder = 2πrh
Total Surface Area (TSA) of a cylinder = 2πr(r + h)
Where r = radius and h = height of the cylinder
Diameter of the cylinder = 60 cm
Radius (r) = Diameter/2 = 60/2 = 30 cm
Height of the cylinder (h) = 10 cm
Required ratio = 2π(30) × (10) : 2π(30)(30 + 10) = 600 : 2400 = 1 : 4
Therefore, the ratio of the lateral surface area to the total surface area of the cylinder is 1 : 4.