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

What is the difference between radius and diameter?

Back

Radius is half of the diameter; Diameter is twice the radius.

Tags

CCSS.7.G.B.4

Front

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

Back

Volume = π(3)²(5) = 45π m³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you find the volume of a cone with a radius of 2 cm and a height of 6 cm?

Back

Volume = (1/3)π(2)²(6) = 8π 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 = (256/3)π cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What happens to the volume of a cylinder if the height is doubled?

Back

The volume also doubles, since volume is directly proportional to height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If the radius of a cone is tripled, how does that affect its volume?

Back

The volume increases by a factor of 9, since volume is proportional to the square of the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a diameter of 4 m and a height of 3 m?

Back

Volume = π(2)²(3) = 12π m³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3