Volume of cones and cylinders

Front

What is the formula for the volume of a cone?

Back

The volume of a cone is given by the formula V = (1/3)πr²h, where r is the radius of the base and h is the height.

Front

What is the formula for the volume of a cylinder?

Back

The volume of a cylinder is given by the formula V = πr²h, where r is the radius of the base and h is the height.

Front

What is the difference between radius and diameter?

Back

The radius is the distance from the center of a circle to any point on its circumference, while the diameter is twice the radius, measuring the distance across the circle through its center.

Front

How do you find the radius if you know the diameter?

Back

To find the radius, divide the diameter by 2. (r = d/2)

Front

What is the relationship between the volume of a cone and a cylinder with the same base and height?

Back

The volume of a cone is one-third the volume of a cylinder with the same base and height.

Front

What is the volume of a cone with a radius of 3 inches and a height of 5 inches?

Back

V = (1/3)π(3)²(5) = 15π ≈ 47.1 in³.

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

V = π(3)²(5) = 45π ≈ 141.4 cm³.

Front

What shape has a circular base and tapers to a point?

Back

A cone.

Front

What shape has two parallel circular bases connected by a curved surface?

Back

A cylinder.

Front

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

Back

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