The volume of a right circular cylinder of length 1.2 metres is 4620 cm³. What is the curved surface area (in cm²) of the cylinder? (Take π=22/7)

Correct option is D

Curved Surface Area = 2πrh
Where:
r is the radius of the cylinder.
h is the height of the cylinder.
First, let's convert the length of the cylinder from meters to centimeters because the volume is given in cm³. 1.2 meters = 120 cm.
Given:
Volume of the cylinder = 4620 cm³
Length (height) of the cylinder = 120 cm
We need to find the radius of the cylinder. The formula for the volume of a cylinder is:
Volume = πr²h
4620 = πr²(120)
r² = 4620 / (π * 120)
r² = 9.5 (rounded to one decimal place)
r = √9.5 = 3.08 cm (rounded to two decimal places)
Now that we have the radius, we can calculate the curved surface area:
Curved Surface Area = 2πrh
Curved Surface Area = 2 * (22/7) * 3.08 * 120
Curved Surface Area ≈ 2 * 22 * 3.08 * 120 / 7 = 2640 cm²
So, the curved surface area of the cylinder is approximately 2640 cm².
The correct answer is (d) 2640.