Volume of Cones, Spheres, and Cylinders

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 and h is the height.

Front

What is the formula for 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 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 difference between radius and diameter?

Back

The radius is half the length of the diameter. The diameter is the distance across the circle through its center.

Front

If a cone has a diameter of 10 cm, what is its radius?

Back

The radius is 5 cm, which is half of the diameter.

Front

Calculate the volume of a cone with a radius of 4 ft and a height of 3 ft.

Back

The volume is 50.24 ft³.

Front

Calculate the volume of a cylinder with a radius of 3 cm and a height of 5 cm.

Back

The volume is 28.27 cm³.

Front

Calculate the volume of a sphere with a radius of 6 m.

Back

The volume is 904.32 m³.

Front

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

Back

The volume of the cone is one-third the volume of the cylinder.

Front

How does changing the height of a cone affect its volume?

Back

Increasing the height of a cone increases its volume, assuming the radius remains constant.