Volume of Spheres, Cones, and Cylinders

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.

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 of the base 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 cylinder?

Back

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

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

Tags

CCSS.7.G.B.4

Front

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

Back

If the radius is doubled, the volume increases by a factor of 4, 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 relationship between diameter and radius?

Back

The diameter d is twice the radius r: d = 2r.

Tags

CCSS.7.G.B.4

Front

What is the approximate value of π used in calculations?

Back

The approximate value of π is 3.14 or 3 for simpler calculations.

Tags

CCSS.HSG.GMD.A.1

Front

How do you calculate the volume of a sphere with a radius of 2 inches?

Back

Using V = (4/3)πr³, V = (4/3) * 3 * (2)³ = 16/3 in³ or approximately 5.33 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 cm and a height of 5 cm?

Back

Using V = πr²h, V = 3 * (3)² * 5 = 27π cm³ or approximately 84.82 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a radius of 4 cm and a height of 6 cm?

Back

Using V = (1/3)πr²h, V = (1/3) * 3 * (4)² * 6 = 32 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3