Volume of Cylinders

Front

What is the formula for the volume of a cylinder?

Back

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

Front

How do you find the radius of a cylinder if you know the diameter?

Back

Radius (r) is half of the diameter (d): r = d/2.

Front

What is the value of π (pi) commonly approximated as?

Back

π is commonly approximated as 3.14.

Front

If a cylinder has a height of 10 cm and a radius of 3 cm, what is its volume?

Back

V = π(3)²(10) = 282.6 cm³.

Front

What units are used to measure volume?

Back

Common units include cubic centimeters (cm³), cubic inches (in³), and liters (L).

Front

Which of the following is NOT a unit of volume? square miles, inches³, cm³, cubic feet

Back

Square miles is NOT a unit of volume.

Front

How do you calculate the volume of a cylinder with a diameter of 8 inches and a height of 5 inches?

Back

First, find the radius: r = 8/2 = 4 inches. Then, V = π(4)²(5) = 80π ≈ 251.3 in³.

Front

What is the volume of a cylinder with a radius of 2 cm and a height of 7 cm?

Back

V = π(2)²(7) = 28π ≈ 87.96 cm³.

Front

If a cylinder has a volume of 100 cm³ and a height of 10 cm, what is its radius?

Back

Using V = πr²h, rearranging gives r = √(V/(πh)) = √(100/(π*10)) ≈ 1.78 cm.

Front

What is the volume of a cylinder with a radius of 5 cm and a height of 12 cm?

Back

V = π(5)²(12) = 300π ≈ 942.48 cm³.