Volume of cylinder, cone and sphere

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 a cylinder has a radius of 3 cm and a height of 5 cm, what is its volume?

Back

Volume = π(3)²(5) = 45π cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

The volume of the cylinder is 3 times larger than the volume of the cone.

Tags

CCSS.3.MD.A.2

Front

Calculate the volume of a cylinder with a diameter of 10 cm and a height of 7 cm.

Back

Volume = π(5)²(7) = 175π cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a sphere with a radius of 4 cm?

Back

Volume = (4/3)π(4)³ = (4/3)π(64) = 256/3 π cm³.

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 cubic inches?

Back

1 cm³ = 0.0610237 in³. Multiply the volume in cm³ by 0.0610237.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a radius of 2 in and a height of 6 in?

Back

Volume = (1/3)π(2)²(6) = 8π in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If the radius of a sphere is doubled, how does its volume change?

Back

The volume increases by a factor of 8.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3