Surface Area of Cylinders

Front

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

Back

The surface area (SA) of a cylinder is given by the formula: SA = 2πr(h + r), where r is the radius and h is the height.

Front

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

Back

The lateral surface area (LSA) of a cylinder is calculated using the formula: LSA = 2πrh, where r is the radius and h is the height.

Front

What is the value of π (pi) commonly used in calculations?

Back

The value of π (pi) is approximately 3.14.

Tags

CCSS.HSG.GMD.A.1

Front

How do you round a number to the nearest tenths?

Back

To round a number to the nearest tenths, look at the hundredths place. If it is 5 or greater, round up the tenths place by one. If it is less than 5, keep the tenths place the same.

Tags

CCSS.3.NBT.A.1

CCSS.4.NBT.A.3

Front

What is the total surface area of a cylinder?

Back

The total surface area of a cylinder includes the lateral surface area and the area of the two circular bases: Total Surface Area = LSA + 2(Area of base) = 2πrh + 2πr².

Front

If a cylinder has a diameter of 4 cm, what is its radius?

Back

The radius is half of the diameter, so if the diameter is 4 cm, the radius is 2 cm.

Tags

CCSS.7.G.B.4

Front

How do you convert square centimeters to square inches?

Back

To convert square centimeters to square inches, multiply the area in square centimeters by 0.155.

Tags

CCSS.2.MD.A.2

Front

What is the lateral surface area of a cylinder with a height of 10 m and a radius of 3 m?

Back

Using the formula LSA = 2πrh, LSA = 2 * 3.14 * 3 * 10 = 188.4 m².

Front

What is the area of the base of a cylinder with a radius of 5 cm?

Back

The area of the base (circle) is calculated using the formula: Area = πr². For a radius of 5 cm, Area = 3.14 * (5)² = 78.5 cm².

Tags

CCSS.7.G.B.4

Front

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

Back

Rearrange the total surface area formula: SA = 2πr(h + r) to solve for h: h = (SA/(2πr)) - r.

Tags

CCSS.HSA.CED.A.4