Curved Surface Area of a Cylinder

Oct 13, 2025 by wbrum.org 99 views

**A Pillar is in the Shape of a Cylinder with Base Radius is 5.6 M if its Height 10 M Find the Cost of Painting its Curved Surface Area @ Rupees 3 per Square Metre**

A cylinder is a three-dimensional shape with two parallel and circular bases connected by a curved lateral surface. It is a type of prism with a circular cross-section. The cylinder has two main components: the base and the height. The base is the circular area at the top and bottom of the cylinder, while the height is the distance between the two bases.

Curved Surface Area of a Cylinder

The curved surface area of a cylinder is the area of the curved lateral surface. It is given by the formula:

Curved Surface Area = 2πrh

where r is the radius of the base and h is the height of the cylinder.

Calculating the Curved Surface Area

Given that the base radius (r) is 5.6 M and the height (h) is 10 M, we can calculate the curved surface area using the formula:

Curved Surface Area = 2πrh = 2 × 3.14 × 5.6 × 10 = 352.32 m²

Cost of Painting the Curved Surface Area

The cost of painting the curved surface area is given as Rs. 3 per square meter. To find the total cost, we multiply the curved surface area by the cost per square meter:

Total Cost = Curved Surface Area × Cost per Square Meter = 352.32 m² × Rs. 3/m² = Rs. 1056.96

Q: What is the formula for the curved surface area of a cylinder? A: The formula for the curved surface area of a cylinder is 2πrh, where r is the radius of the base and h is the height of the cylinder.

Q: How do I calculate the curved surface area of a cylinder? A: To calculate the curved surface area of a cylinder, you need to multiply the circumference of the base (2πr) by the height (h) of the cylinder.

Q: What is the cost of painting the curved surface area of a cylinder with a base radius of 5.6 M and a height of 10 M, if the cost per square meter is Rs. 3? A: The cost of painting the curved surface area of a cylinder with a base radius of 5.6 M and a height of 10 M is Rs. 1056.96.

Q: What is the significance of the curved surface area of a cylinder? A: The curved surface area of a cylinder is significant because it represents the area that needs to be painted or covered with a material. It is an important parameter in various engineering and architectural applications.

Q: Can I use the formula for the curved surface area of a cylinder for other shapes? A: No, the formula for the curved surface area of a cylinder is specific to cylinders and cannot be used for other shapes. However, you can use similar formulas for other shapes, such as cones and spheres.

Q: How do I find the radius of the base of a cylinder? A: To find the radius of the base of a cylinder, you need to divide the diameter of the base by 2. The diameter is the distance across the base, passing through its center.

Q: What is the relationship between the radius and the diameter of a cylinder? A: The radius of a cylinder is half of its diameter.