Volume (Cylinders, Cones, Spheres)

Front

What is volume in the context of 3D objects?

Back

Volume is the amount of space that a 3D object occupies, typically measured in cubic units.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

What is the approximate value of pi (π)?

Back

π is approximately equal to 3.14.

Tags

CCSS.HSG.GMD.A.1

Front

What are the dimensions of a cylinder?

Back

A cylinder is defined by its radius (r) and height (h).

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

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 and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What are the dimensions of a sphere?

Back

A sphere is defined by its radius (r) and has no height.

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 are the dimensions of a cone?

Back

A cone is defined by its radius (r) and height (h).

Tags

CCSS.7.G.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 and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

Using the formula V = πr²h, the volume is V = π(3)²(10) = 90π cubic units.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the volume of a sphere with a radius of 2.2?

Back

Using the formula V = (4/3)πr³, the volume is V = (4/3)π(2.2)³ cubic units.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3