Volume of Cylinders

Front

What is the formula for the volume of a cylinder?

Back

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

Front

What does the variable 'r' represent in the volume formula of a cylinder?

Back

The variable 'r' represents the radius of the base of the cylinder.

Front

What does the variable 'h' represent in the volume formula of a cylinder?

Back

The variable 'h' represents the height of the cylinder.

Front

How do you calculate the volume of a cylinder with a radius of 5 cm and a height of 10 cm?

Back

V = π(5 cm)²(10 cm) = 250π cm³, approximately 785.4 cm³.

Front

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

Back

The volume increases by a factor of four, since volume is proportional to the square of the radius.

Front

What is the relationship between the diameter and radius of a circle?

Back

The diameter is twice the length of the radius (d = 2r).

Front

What is the volume of a cylinder with a height of 10 cm and a base radius of 9 cm?

Back

The volume is approximately 2543.4 cm³.

Front

What is the significance of π in the volume formula of a cylinder?

Back

π (pi) is a constant approximately equal to 3.14159, used to relate the radius of a circle to its circumference and area.

Front

How do you convert the volume of a cylinder from cubic centimeters to liters?

Back

To convert from cubic centimeters to liters, divide the volume in cm³ by 1000 (1 L = 1000 cm³).

Front

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

Back

V = π(3 cm)²(7 cm) = 63π cm³, approximately 197.82 cm³.