Volume of Cylinders and Cones

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone?

Back

V = ⅓πr²h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the definition of volume?

Back

The amount of space taken up by a 3D solid.

Front

How do you find the radius of a cylinder if the diameter is given?

Back

Radius = Diameter / 2.

Tags

CCSS.7.G.B.4

Front

What is the relationship between the volume of a cone and a cylinder with the same base and height?

Back

The volume of the cone is 1/3 of the volume of the cylinder.

Tags

CCSS.3.MD.A.2

Front

Calculate the volume of a cylinder with a radius of 4 feet and a height of 5 feet.

Back

V = π(4^2)(5) = 80π ≈ 251.3 cubic feet.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a diameter of 10 cm and a height of 3 cm?

Back

V = π(5^2)(3) = 75π ≈ 235.6 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

Why is the volume of a cone one-third that of a cylinder?

Back

Because it takes 3 cones to fill up a cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What units are used to measure volume?

Back

Cubic units, such as cm³, m³, or liters.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

If a cylinder has a height of 10 cm and a radius of 2 cm, what is its volume?

Back

V = π(2^2)(10) = 40π ≈ 125.7 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3