Volume: 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

What shape has a constant radius from a central point?

Back

Sphere.

Front

If a cylinder has a radius of 2 cm and a height of 5 cm, what is its volume?

Back

Volume = π(2)²(5) = 20π ≈ 62.83 cm³.

Front

What is the volume of a cone with a radius of 3 feet and a height of 4 feet?

Back

Volume = (1/3)π(3)²(4) = 12π ≈ 37.70 ft³.

Front

How do you find the volume of a cylinder?

Back

Multiply the area of the base (πr²) by the height (h).

Front

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

Back

Volume = (4/3)π(5)³ = (4/3)π(125) ≈ 523.6 in³.

Front

What is the relationship between the height and radius in the volume formula for cones?

Back

The volume is directly proportional to both the square of the radius and the height.

Front

What is the volume of a cylinder with a diameter of 10 cm and a height of 7 cm?

Back

Volume = π(5)²(7) = 175π ≈ 549.78 cm³.