Volume of Cylinders

Front

What is the formula for the volume of a cylinder?

Back

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

Front

What does π (pi) represent in the volume formula?

Back

π (pi) is a constant approximately equal to 3.14, representing the ratio of the circumference of a circle to its diameter.

Front

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

Back

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

Front

If a cylinder has a height of 10 cm and a radius of 5 cm, what is its volume?

Back

V = 3.14 × 5² × 10 = 785 cm³.

Front

What is the volume of a cylinder with a radius of 2 cm and a height of 5 cm?

Back

V = 3.14 × 2² × 5 = 62.8 cm³.

Front

How do you round a number to the nearest tenths?

Back

Look at the hundredths place; if it's 5 or more, round up the tenths place by one.

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 4 cm?

Back

V = 3.14 × 3² × 4 = 113.04 cm³.

Front

If a cylinder has a volume of 100 cm³ and a height of 5 cm, what is its radius?

Back

Using V = πr²h, rearranging gives r = √(V/(πh)). Here, r = √(100/(3.14×5)) ≈ 2.52 cm.

Front

What is the significance of the height in the volume of a cylinder?

Back

Height determines how tall the cylinder is, affecting the overall volume.

Front

How do you calculate the volume of a cylinder with a diameter of 6 cm and a height of 10 cm?

Back

First, find the radius: r = 6/2 = 3 cm. Then, V = 3.14 × 3² × 10 = 94.2 cm³.