Volume of Cylinders, Cones, & Spheres 8.7A

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

What is the formula for the volume of a cylinder?

Back

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

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 and h is the height of the cone.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you convert diameter to radius?

Back

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

Tags

CCSS.7.G.B.4

Front

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

Back

Using the formula V = (4/3)πr³, the volume is approximately 523.6 in³.

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 10.5 inches?

Back

Using the formula V = πr²h, the volume is approximately 296.88 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a radius of 4 inches and a height of 9 inches?

Back

Using the formula V = (1/3)πr²h, the volume is approximately 150.8 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a sphere with a diameter of 16 inches?

Back

The radius is 8 inches. Using the formula V = (4/3)πr³, the volume is approximately 2,144.66 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a diameter of 10 ft and a height of 17 ft?

Back

The radius is 5 ft. Using the formula V = πr²h, the volume is approximately 1,335 ft³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between volume and capacity?

Back

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