Find the curved surface area of a cylinder with radius 10.5 cm and volume 6,237 cm3.
Show answer & explanation
Correct answer: B
Explanation
given :
Radius (r) = 10.5 cm
Volume (V) = 6237 cubic cm
According to the formula:
Volume of cylinder = πr²h
Curved surface area = 2πrh
6237 = (22/7) × (10.5)² × h
6237 = (22/7) × 110.25 × h
6237 = 346.5h
h = 6237 ÷ 346.5
h = 18
Curved surface area= 2 × (22/7) × 10.5 × 18= 1188
Curved surface area = 1188 cm²