Area of the base of a cylinder is 346.5 cm². If total surface area of the…
2021
Area of the base of a cylinder is 346.5 cm². If total surface area of the cylinder is 2013 cm², then what will be the length of the cylinder?
- A.
10 cm
- B.
20 cm
- C.
25 cm
- D.
30 cm
Attempted by 3 students.
Show answer & explanation
Correct answer: B
Base Area = pi * r^2 = 346.5 cm^2. Using pi = 22/7:
r^2 = 346.5 * 7 / 22 = 110.25.
r = square root(110.25) = 10.5 cm.
Total Surface Area (TSA) = 2 * pi * r * (r + h) = 2013 cm^2.
2 * (22/7) * 10.5 * (10.5 + h) = 2013.
66 * (10.5 + h) = 2013.
10.5 + h = 2013 / 66 = 30.5.
h = 30.5 - 10.5 = 20 cm.
Final Answer: Option 2