Volume: Cylinder, Cone, Sphere

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 the radius of a cylinder is 3 cm and the height is 5 cm, what is its volume?

Back

Volume = π(3)²(5) = 45π ≈ 141.37 cm³.

Front

How do you approximate π for calculations?

Back

Use 3.14 as an approximation for π.

Front

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

Back

Volume = (4/3)π(5)³ = (4/3)π(125) ≈ 523.33 cm³.

Front

What is the relationship between the radius and volume of a sphere?

Back

The volume increases with the cube of the radius.

Front

If a cone has a volume of 30 cm³ and a height of 10 cm, what is the radius?

Back

Radius = √(3V/(πh)) = √(3(30)/(π(10))) ≈ 2.24 cm.

Front

What is the volume of a cylinder with a radius of 4 in and a height of 10 in?

Back

Volume = π(4)²(10) = 160π ≈ 502.65 in³.

Front

How do you find the radius of a sphere if you know the volume?

Back

Use the formula r = (3V/(4π))^(1/3).