Three-dimensional geometry formulas review

Front

What is the formula for the lateral surface area of a cylinder?

Back

Lateral Surface Area = 2πrh, where r is the radius and h is the height.

Front

How do you calculate the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.

Front

What is the formula for the total surface area of a cylinder?

Back

Total Surface Area = 2πr(h + r), where r is the radius and h is the height.

Front

If a cylinder has a radius of 4 inches and a height of 10 inches, what is its volume?

Back

Volume = π(4)²(10) = 160π cubic inches.

Front

What is the volume of a cylinder with a diameter of 12 inches and a height of 5 inches?

Back

Volume = π(6)²(5) = 180π cubic inches.

Front

How do you find the height of a cylinder if you know the volume and radius?

Back

Height = Volume / (πr²).

Front

What is the relationship between diameter and radius?

Back

Diameter = 2 × Radius.

Front

If a cylinder has a height of 20 cm and a radius of 3 cm, what is the lateral surface area?

Back

Lateral Surface Area = 2π(3)(20) = 120π cm².

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3)πr²h, where r is the radius and h is the height.

Front

How do you calculate the volume of a sphere?

Back

Volume = (4/3)πr³, where r is the radius.