A cylindrical container, closed at both ends, has a radius of 7cm and height 5cm [Take π = 22/7]
Find the total surface area of the container
Answer Details
The total surface area of a closed cylinder consists of the area of its curved surface and the area of its two circular ends.
The area of the curved surface of a cylinder is given by 2πrh, where r is the radius of the base and h is the height.
The area of each circular end is given by πr^2.
In this case, the radius of the cylinder is 7cm and the height is 5cm. So,
Area of curved surface = 2πrh = 2 × (22/7) × 7 × 5 = 220cm^2
Area of each circular end = πr^2 = (22/7) × 7^2 = 154cm^2
Total surface area = 2 × area of circular end + area of curved surface
= 2 × 154 + 220
= 308 + 220
= 528cm^2
Therefore, the total surface area of the cylinder is 528cm^2. So, the correct option is (D) 528cm^2.