Surface Area of Cylinders

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 does 'radius' mean in relation to a circle?

Back

The radius is the distance from the center of the circle to any point on its circumference.

Front

What is the relationship between radius and diameter?

Back

The radius is one-half of the diameter.

Front

How do you calculate the area of a circle?

Back

Area = πr², where r is the radius.

Front

What is the total surface area of a cylinder composed of?

Back

The total surface area is the sum of the areas of the two circular bases and the rectangular side (lateral surface area).

Front

If the radius of a cylinder is 3 cm and the height is 5 cm, what is the surface area?

Back

Surface Area = 2π(3)(5 + 3) = 2π(3)(8) = 48π cm² ≈ 150.8 cm².

Front

What is the unit of measurement for surface area?

Back

Square units, such as cm², m², in², etc.

Front

What is the lateral surface area of a cylinder?

Back

The lateral surface area is the area of the side of the cylinder, calculated as 2πrh.

Front

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

Back

π is a constant approximately equal to 3.14, used to calculate areas and circumferences of circles.

Front

How do you find the height of a cylinder if you know the surface area and radius?

Back

Rearrange the surface area formula: h = (Surface Area / (2πr)) - r.