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 context of a cylinder's volume?

Back

π (pi) is a constant approximately equal to 3.14, used to calculate the area of a circle.

Front

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

Back

V = 3.14 × 5² × 10 = 785 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 height of a cylinder if its volume is 1000 cm³ and the radius is 5 cm?

Back

h = V / (πr²) = 1000 / (3.14 × 5²) = 12.73 cm.

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 7 cm?

Back

V = 3.14 × 3² × 7 = 65.94 cm³.

Front

What is the relationship between the radius and the volume of a cylinder?

Back

The volume increases with the square of the radius; doubling the radius increases the volume by a factor of four.

Front

What is the volume of a cylinder with a radius of 4 cm and a height of 10 cm?

Back

V = 3.14 × 4² × 10 = 502.4 cm³.

Front

If the height of a cylinder is doubled, how does that affect the volume?

Back

The volume also doubles, since volume is directly proportional to height.

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.