Volume

Front

What is the formula for the volume of a cone?

Back

The volume V of a cone is given by the formula V = (1/3)πr²h, where r is the radius of the base and h is the height.

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Front

How do you calculate the volume of a cylinder?

Back

The volume V of a cylinder is calculated using the formula V = πr²h, where r is the radius of the base and h is the height.

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Front

What is the volume of a sphere?

Back

The volume V of a sphere is given by the formula V = (4/3)πr³, where r is the radius.

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Front

What is a composite solid?

Back

A composite solid is a three-dimensional shape that is made up of two or more simpler shapes.

Tags

CCSS.1.G.A.2

Front

How do you find the volume of a composite solid?

Back

To find the volume of a composite solid, calculate the volume of each individual shape and then sum them up.

Tags

CCSS.5.MD.C.5C

Front

What is the relationship between volume and capacity?

Back

Volume refers to the amount of space an object occupies, while capacity refers to the amount of substance (like liquid) that a container can hold.

Front

What units are used to measure volume?

Back

Common units for measuring volume include cubic centimeters (cm³), cubic meters (m³), liters (L), and gallons.

Tags

CCSS.3.MD.A.2

Front

How do you convert cubic inches to cubic centimeters?

Back

To convert cubic inches to cubic centimeters, multiply the volume in cubic inches by 16.387.

Tags

CCSS.4.MD.A.2

Front

What is the volume of a cylinder with a radius of 5 inches and a height of 10 inches?

Back

The volume V = π(5)²(10) = 250π ≈ 785.4 cubic inches.

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Front

If a cone has a height of 12 inches and a radius of 3 inches, what is its volume?

Back

The volume V = (1/3)π(3)²(12) = 36π ≈ 113.1 cubic inches.

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9