Volume of cylinders, Cones and Spheres

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h, where V is the volume, r is the radius, and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you find the radius of a cylinder when given the volume and height?

Back

Rearrange the volume formula: r = √(V / (πh)).

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)πr²h, where V is the volume, r is the radius, and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you find the height of a cone when given the volume and radius?

Back

Rearrange the volume formula: h = (3V) / (πr²).

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³, where V is the volume and r is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you find the radius of a sphere when given the volume?

Back

Rearrange the volume formula: r = (3V / (4π))^(1/3).

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What units are used to measure volume?

Back

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

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

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

Back

The diameter is twice the radius: d = 2r.

Front

How do you convert the volume of a cylinder from cubic inches to liters?

Back

Use the conversion factor: 1 in³ = 0.0163871 liters.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the significance of rounding answers in volume calculations?

Back

Rounding is important for precision and to match the required format of the answer.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2