Curved Surface Area of Cylinders

This video tutorial on mensuration covers three solved questions related to the surface area of a right circular cylinder. The first question involves calculating the height of a cylinder given its curved surface area and radius. The second question focuses on finding the lateral surface area using the base circumference and height. The third question deals with determining the ratio of curved surface areas of two cylinders based on given ratios of their radii and heights. The video provides step-by-step solutions to these problems, enhancing understanding of the concepts involved.

What is the main topic discussed in this video?

• Area of a triangle

• Volume of a sphere

• Perimeter of a rectangle

• Surface area of a right circular cylinder

What is the formula for the curved surface area of a cylinder?

• 2πrh

• πr²h

• πr²

• 2πr²

If the curved surface area of a cylinder is 1320 cm² and the radius is 10.5 cm, what is the height?

• 20 cm

• 30 cm

• 15 cm

• 25 cm

What is the curved surface area of a cylinder with a radius of 10.5 cm and height of 20 cm?

• 1400 cm²

• 1500 cm²

• 1600 cm²

• 1320 cm²

What is the height of a cylinder if its curved surface area is 1320 cm² and radius is 10.5 cm?

• 30 cm

• 25 cm

• 20 cm

• 15 cm

What is the circumference of the base of a cylinder if its lateral surface area is 11440 cm² and height is 65 cm?

• 165 cm

• 176 cm

• 150 cm

• 200 cm

How do you calculate the lateral surface area of a cylinder?

• Base area times height

• Diameter times height

• Radius times height

• Circumference times height

What is the lateral surface area of a cylinder with a base circumference of 176 cm and height of 65 cm?

• 11000 cm²

• 11500 cm²

• 12000 cm²

• 11440 cm²

If the circumference of a cylinder's base is 176 cm, what is its radius?

• 35 cm

• 14 cm

• 21 cm

• 28 cm

What is the relationship between the circumference and radius of a cylinder's base?

• C = 2r

• C = πd

• C = πr²

• C = 2πr