Volume of Cones/Cylinders/Spheres REVIEW

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

If a sphere has a radius of 5 inches, what is its volume?

Back

Using the formula V = (4/3)πr³, the volume is approximately 523.3 cubic inches.

Front

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

Back

The radius r is half of the diameter d: r = d/2.

Front

What is the value of π (pi) used in calculations?

Back

In calculations, π is often approximated as 3.14.

Front

What is the height of a cone if its volume is 1000 cm³ and the radius is 5 cm?

Back

Using the formula V = (1/3)πr²h, the height h can be calculated as approximately 38.2 cm.

Front

How do you convert cubic inches to cubic feet?

Back

To convert cubic inches to cubic feet, divide the number of cubic inches by 1728 (since 1 cubic foot = 1728 cubic inches).

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 10 cm?

Back

Using the formula V = πr²h, the volume is approximately 94.2 cm³.

Front

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

Back

The diameter is twice the radius: d = 2r.