Cones A and B both have volume 48(3.14) cubic units but they have different dimensions. Cone A has radius 6 units and height 4 units.

Part A

Find one possible radius and height for Cone B.
Radius: Height:

Part B
Explain how you know Cone B has the same volume as Cone A.

Part A r =  units & h = 2 units:

Step-by-step explanation:

Here we have , cones A and B both have volume 48(3.14) cubic units but they have different dimensions. Cone A has radius 6 units and height 4 units. We need to find:

Part A

Find one possible radius and height for Cone B.

Since , volume of cone A and B are same so ,

Volume of cone A = , Volume of cone V =

By hit & trial , One possible radius and height for Cone B is r =  units & h = 2  units:

⇒

⇒

⇒

Part B

Explain how you know Cone B has the same volume as Cone A.

Volume of cone A = :

Cone A has radius 6 units and height 4 units, So

⇒

⇒

⇒

Volume of cone V =

⇒

⇒

⇒

Hence, Volume of both are same!