Volume - Cylinders, Cones & Spheres

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 of the sphere.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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.8.G.C.9

CCSS.HSG.GMD.A.3

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

If a sphere has a diameter of 20 cm, what is its radius?

Back

The radius r of a sphere is half of the diameter. Therefore, if the diameter is 20 cm, the radius is 10 cm.

Tags

CCSS.7.G.B.4

Front

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

Back

Using the formula V = (4/3)πr³, the volume is approximately 5,575 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

Calculate the volume of a cone with a height of 10 cm and a base radius of 9 cm.

Back

Using the formula V = (1/3)πr²h, the volume is 848 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between diameter and radius?

Back

The diameter is twice the radius. Diameter = 2 × Radius.

Tags

CCSS.7.G.B.4

Front

How do you convert the diameter of a sphere to its volume?

Back

First, find the radius by dividing the diameter by 2, then use the volume formula V = (4/3)πr³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a height of 15 inches and a radius of 6 inches?

Back

Using the formula V = πr²h, the volume is approximately 1695.6 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is π (pi) approximately equal to?

Back

π (pi) is approximately equal to 3.14.

Tags

CCSS.HSG.GMD.A.1