The cone in the diagram has the same heght and base area as the prism. What is the ratio of the volume of the cone to the volume of the

prism

base area = B

base area =

DA

volume of cone

volume of prism

B volume of cone

volume of prism

1

3

Ос

volume of cone

នាង

Bones reserved

1/3

Step-by-step explanation:

The volume of a prism in terms of base area (B) and height (h) is ...

V = Bh

The volume of a cone in terms of base area (B) and height (h) is ...

V = (1/3) Bh

Then the desired ratio is ...

cone volume / prism volume = ((1/3) Bh) / (Bh) = 1/3

The ratio of the volume of the cone to the volume of the prism is 1/3.