Volume of Cylinders, Cones, & 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 radius of 3 cm and a height of 10 cm, what is its volume?

Back

Volume = π(3)²(10) = 90π ≈ 282.74 cm³.

Front

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

Back

Volume = (1/3)π(3)²(10) = 30π ≈ 94.25 cm³.

Front

How do you find the radius of a sphere if its volume is given?

Back

Use the formula r = (3V/(4π))^(1/3), where V is the volume.

Front

What is the volume of a sphere with a diameter of 20 cm?

Back

Volume = (4/3)π(10)³ = 4,188.79 cm³.

Front

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

Back

Diameter = 2 × Radius.

Front

If the height of a cylinder is doubled, how does that affect its volume?

Back

The volume also doubles, since volume is directly proportional to height.

Front

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

Back

Volume = (4/3)π(5)³ = 523.6 cm³.