Volume of Cylinders, Cones, and Spheres

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 volume of a cone?

Back

Volume = (1/3)πr²h, 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

If a cylinder has a diameter of 6 cm, what is its radius?

Back

Radius = Diameter / 2 = 6 cm / 2 = 3 cm.

Front

How do you calculate the volume of a half-full cylinder?

Back

Volume = (1/2)πr²h.

Front

What is the approximate value of π used in calculations?

Back

π is approximately 3.14.

Front

Calculate the volume of a cylinder with a radius of 3 cm and a height of 8 cm.

Back

Volume = π(3 cm)²(8 cm) = 72π cm³ ≈ 226.08 cm³.

Front

What is the volume of a sphere with a radius of 5 inches?

Back

Volume = (4/3)π(5 in)³ = (4/3)π(125) ≈ 523.33 in³.

Front

How do you find the volume of a cone with a radius of 4 cm and a height of 9 cm?

Back

Volume = (1/3)π(4 cm)²(9 cm) = 48π cm³ ≈ 150.80 cm³.

Front

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

Back

Diameter = 2 × Radius.