Volume and Surface Area

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

What is the formula for the volume of a sphere?

Back

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

Front

Calculate the volume of a cylinder with a radius of 3 cm and a height of 10 cm.

Back

Volume = πr²h = π(3)²(10) = 283 cm³.

Front

What is the formula for 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 surface area of a sphere?

Back

Surface Area = 4πr², where r is the radius.

Front

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

Back

Diameter = 2 × Radius.

Front

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

Back

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

Front

If the radius of a sphere is 5 cm, what is its volume?

Back

Volume = (4/3)π(5)³ = 523.6 cm³.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

Calculate the hypotenuse of a right triangle with legs of length 5 cm and 5 cm.

Back

c = √(5² + 5²) = √50 = 7.07 cm.