Volume of cylinders, Cones and Spheres

Front

What is the formula for the volume of a cylinder?

Back

V = 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

V = (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

V = (4/3)πr³, where r is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you find the radius of a cylinder if you know the diameter?

Back

Radius (r) = Diameter (d) / 2.

Tags

CCSS.7.G.B.4

Front

If the height of a cone is doubled, how does that affect the volume?

Back

The volume of the cone also doubles.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the value of π (pi) commonly approximated as?

Back

π is commonly approximated as 3.14.

Tags

CCSS.HSG.GMD.A.1

Front

How do you calculate the volume of a cylinder with a radius of 3 cm and a height of 10 cm?

Back

V = π(3)²(10) = 90π ≈ 282.6 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

If a sphere has a radius of 4 cm, what is its volume?

Back

V = (4/3)π(4)³ = (4/3)π(64) ≈ 268.08 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the height of a cone if its volume is 150 cm³ and radius is 3 cm?

Back

h = (3V)/(πr²) = (3*150)/(π*3²) = 50/π ≈ 15.92 cm.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3