Surface Area and Volume of Cylinders

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.

Front

What does the term 'surface area' mean?

Back

Surface area is the total area of all the surfaces of a 3D figure.

Front

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

Back

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

Front

What is a cylinder?

Back

A cylinder is a 3D shape with two parallel circular bases connected by a curved surface.

Front

What is the difference between volume and surface area?

Back

Volume measures the space inside a 3D figure, while surface area measures the total area of its surfaces.

Front

What is the radius of a cylinder?

Back

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

Front

What is the height of a cylinder?

Back

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

Front

If a cylinder has a radius of 3 cm and a height of 5 cm, what is its volume?

Back

Volume = π(3)²(5) = 45π cm³.

Front

If a cylinder has a radius of 4 cm and a height of 10 cm, what is its surface area?

Back

Surface Area = 2π(4)(10 + 4) = 2π(4)(14) = 112π cm².

Front

What is lateral area in the context of a cylinder?

Back

Lateral area is the area of the curved surface of the cylinder, excluding the bases.