Volume of 3D Shapes

Front

What is the formula for 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.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the volume of a cone?

Back

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder?

Back

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a sphere has a radius of 5 inches, what is its volume?

Back

Using the formula V = (4/3)π(5)³, the volume is approximately 523.6 cubic inches.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between diameter and radius?

Back

The radius is half of the diameter. If d is the diameter, then r = d/2.

Tags

CCSS.7.G.B.4

Front

How do you find the volume of a rectangular prism?

Back

The volume V of a rectangular prism is calculated using the formula V = lwh, where l is the length, w is the width, and h is the height.

Tags

CCSS.7.G.B.6

Front

What is the volume of a sphere with a radius of 11 inches?

Back

Using the formula V = (4/3)π(11)³, the volume is approximately 5,572 cubic inches.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a height of 30 inches and a diameter of 20 inches?

Back

The radius is 10 inches. Using V = (1/3)π(10)²(30), the volume is approximately 3,140 cubic inches.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a radius of 3 inches and a height of 10 inches?

Back

Using V = π(3)²(10), the volume is approximately 282.7 cubic inches.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you round the volume of a shape to the nearest whole number?

Back

To round to the nearest whole number, look at the first decimal place. If it's 5 or more, round up; if it's less than 5, round down.

Tags

CCSS.7.EE.B.3