Volume of Cylinders and Cones

Front

What is the formula for the volume of a cylinder?

Back

V = Bh, where B is the area of the base and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a cone?

Back

V = (1/3)Bh, where B is the area of the base and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What does 'B' represent in the volume formulas for cylinders and cones?

Back

B represents the area of the base of the figure.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the area of a circle?

Back

A = πr², where r is the radius of the circle.

Tags

CCSS.7.G.B.4

Front

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

Back

The volume of the cone is one-third the volume of the cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

V = π(3)²(5) = 45π cm³ ≈ 141.37 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a cone has a radius of 4 in and a height of 9 in, what is its volume?

Back

V = (1/3)π(4)²(9) = 48π in³ ≈ 150.8 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a base area of 50 cm² and a height of 3 cm?

Back

V = Bh = 50 cm² * 3 cm = 150 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a base area of 20 in² and a height of 6 in?

Back

V = (1/3)Bh = (1/3)(20 in²)(6 in) = 40 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What units are used to measure volume?

Back

Common units include cubic centimeters (cm³), cubic inches (in³), and liters (L).

Tags

CCSS.3.MD.A.2