Volume of 3D Shapes

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.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the volume of a sphere?

Back

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

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 cone has a radius of 3 inches and a height of 4 inches, what is its volume?

Back

V = (1/3)π(3)²(4) = 12π ≈ 37.68 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

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

Tags

CCSS.7.G.B.4

Front

How do you round a number to the nearest whole number?

Back

Look at the first decimal place: if it's 5 or more, round up; if it's less than 5, round down.

Tags

CCSS.5.NBT.A.4

Front

What is the volume of a cylinder with a radius of 2 inches and a height of 6 inches?

Back

V = π(2)²(6) = 24π ≈ 75.4 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a sphere with a radius of 5 inches?

Back

V = (4/3)π(5)³ = (4/3)π(125) ≈ 523.6 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you find the volume of a cone with a diameter of 10 inches and a height of 5 inches?

Back

First, find the radius: r = 10/2 = 5 inches. Then use V = (1/3)π(5)²(5) = (1/3)π(125) ≈ 130.9 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a rectangular prism?

Back

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

Tags

CCSS.7.G.B.6