Calculate the cost required to paint a container that is in the shape of a cylinder having abase radius of 10 cm and height of 15 cm. If the painting cost of the container is Rs. 3 per ?

To calculate the cost of painting the container, we first need to find the surface area of the cylinder. The formula for the surface area of a cylinder is 2πrh + 2πr², where r is the radius and h is the height.

Step 1: Substitute the given values into the formula. Surface Area = 2π(10 cm)(15 cm) + 2π(10 cm)²

Step 2: Calculate the surface area. Surface Area = 2π(150 cm²) + 2π(100 cm²) Surface Area = 300π cm² + 200π cm² Surface Area = 500π cm²

Step 3: Convert the surface area to square meters, as the cost is usually given per square meter. There are 10,000 square centimeters in a square meter, so divide the result by 10,000. Surface Area = 500π cm² / 10,000 = 0.157 m²

Step 4: Multiply the surface area by the cost per square meter to find the total cost. Cost = Surface Area * Cost per square meter Cost = 0.157 m² * Rs. 3 Cost = Rs. 0.471

So, the cost required to paint the container is approximately Rs. 0.471.