To find the total surface area that needs to be painted, we need to calculate the lateral surface area and the area of the base of the cylinder.

Step 1: Calculate the lateral surface area of the cylinder. The formula for the lateral surface area of a cylinder is 2πrh, where r is the radius and h is the height.

So, the lateral surface area = 2π * 14 cm * 30 cm = 2640 cm².

Step 2: Calculate the area of the base of the cylinder. The formula for the area of a circle is πr².

So, the area of the base = π * (14 cm)² = 616 cm².

Step 3: Since the cylinder is open, it only has one base. So, the total surface area that needs to be painted is the sum of the lateral surface area and the area of the base.

So, the total surface area = 2640 cm² + 616 cm² = 3256 cm².

Therefore, 3256 cm² of the cylinder's surface needs to be painted.

Question

To find the total surface area that needs to be painted, we need to calculate the lateral surface area and the area of the base of the cylinder.

Step 1: Calculate the lateral surface area of the cylinder. The formula for the lateral surface area of a cylinder is 2πrh, where r is the radius and h is the height.

So, the lateral surface area = 2π * 14 cm * 30 cm = 2640 cm².

Step 2: Calculate the area of the base of the cylinder. The formula for the area of a circle is πr².

So, the area of the base = π * (14 cm)² = 616 cm².

Step 3: Since the cylinder is open, it only has one base. So, the total surface area that needs to be painted is the sum of the lateral surface area and the area of the base.

So, the total surface area = 2640 cm² + 616 cm² = 3256 cm².

Therefore, 3256 cm² of the cylinder's surface needs to be painted.

Knowee AI · Accepted Answer

To find the total surface area that needs to be painted, we need to calculate the lateral surface area and the area of the base of the cylinder.

Step 1: Calculate the lateral surface area of the cylinder. The formula for the lateral surface area of a cylinder is 2πrh, where r is the radius and h is the height.

So, the lateral surface area = 2π * 14 cm * 30 cm = 2640 cm².

Step 2: Calculate the area of the base of the cylinder. The formula for the area of a circle is πr².

So, the area of the base = π * (14 cm)² = 616 cm².

Step 3: Since the cylinder is open, it only has one base. So, the total surface area that needs to be painted is the sum of the lateral surface area and the area of the base.

So, the total surface area = 2640 cm² + 616 cm² = 3256 cm².

Therefore, 3256 cm² of the cylinder's surface needs to be painted.

1) An open cylinder tank of radius 14 cm and height 30 cm is to be painted on its exterior surfaces. Find the total surface area that needs to be painted.

Question

Solution

Similar Questions

Upgrade your grade with Knowee