Surface Area of A Cylinder

Front

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

Back

Total Surface Area = 2πr(h + r), where r is the radius and h is the height.

Front

Define 'radius' in the context of a cylinder.

Back

The radius is the distance from the center of the base of the cylinder to its edge.

Front

What does 'height' refer to in a cylinder?

Back

The height is the distance between the two circular bases of the cylinder.

Front

Calculate the total surface area of a cylinder with radius 5 cm and height 10 cm.

Back

Total Surface Area = 2π(5)(10 + 5) = 471.24 cm².

Front

What is the lateral surface area of a cylinder?

Back

Lateral Surface Area = 2πrh, which is the area of the curved surface excluding the bases.

Front

If a cylinder has a radius of 4 m and a height of 6 m, what is its total surface area?

Back

Total Surface Area = 2π(4)(6 + 4) = 251.33 m².

Front

What is the significance of π (pi) in the surface area formula?

Back

π is a constant approximately equal to 3.14, used to calculate areas related to circles.

Front

Find the surface area of a cylinder with radius 3 in and height 8 in.

Back

Total Surface Area = 2π(3)(8 + 3) = 207.24 in².

Front

What is the relationship between the radius and the surface area of a cylinder?

Back

As the radius increases, the surface area increases, since it is a factor in the surface area formula.

Front

How do you round a surface area to the nearest whole number?

Back

Look at the first decimal place; if it's 5 or more, round up; if it's less than 5, round down.