Question

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

Answer 1

1/3

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.