Volume of Cones and Spheres

Front

What is the formula for the volume of a sphere?

Back

The volume V of a sphere is given by the formula V = (4/3)πr³, where r is the radius.

Front

What is the formula for the volume of a cone?

Back

The volume V 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 value of π (pi) approximately?

Back

π (pi) is approximately 3.14.

Front

If a cone and a cylinder have the same radius and height, how do their volumes compare?

Back

The volume of the cone is 1/3 the volume of the cylinder.

Front

What is the volume of a sphere with a radius of 1 cm?

Back

The volume is approximately 4.18 cm³.

Front

Which unit is NOT appropriate for measuring volume?

Back

Square miles is NOT appropriate for measuring volume.

Front

What is the volume of a cone with a radius of 3 cm and a height of 9 cm?

Back

The volume is 28.26 cm³.

Front

How do you calculate the volume of a cylinder?

Back

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

Front

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

Back

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

Front

If a cylinder has a volume of 60 cm³, what is the volume of a cone with the same radius and height?

Back

The volume of the cone is 20 cm³.