Volume of Cylinders, Cones, & Spheres

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r is the radius 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

Volume = (1/3)πr²h, where r is the radius 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 sphere?

Back

Volume = (4/3)πr³, where r is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If the radius of a cylinder is 5 cm and the height is 10 cm, what is its volume?

Back

Volume = π(5)²(10) = 250π cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between the volume of a cone and a cylinder with the same base and height?

Back

The volume of the cone is one-third that of the cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you convert the volume of a cylinder from cubic centimeters to liters?

Back

1 liter = 1000 cm³, so divide the volume in cm³ by 1000.

Front

What is the volume of a sphere with a radius of 3 cm?

Back

Volume = (4/3)π(3)³ = 36π cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a cone has a radius of 4 cm and a height of 9 cm, what is its volume?

Back

Volume = (1/3)π(4)²(9) = 48π cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a radius of 7 cm and a height of 14 cm?

Back

Volume = π(7)²(14) = 686π cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a sphere with a diameter of 10 cm?

Back

Radius = 5 cm; Volume = (4/3)π(5)³ = (500/3)π cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3