Question

prism M and pyramid n have the same base area and the same height. cylinder p and prism Q have the same height and the same base perimeter. cone z has the same base area as cylinder y but its height is 3 times the height of cylinder y the figures_ and _ have the same volume ​

Answer 1

Answer:

The volume of cone z has the same base area as cylinder y but its height is 3 times the height of cylinder y have the same volume.

Step-by-step explanation:

The volume of a cylinder having base area 'A' and height 'H' is given by  V = AH, and the volume of a cone having the same base area as the cylinder i.e. A and height 3 times the height of the cylinder i.e. 3H is given by $V' = \frac{1}{3} A(3H) = AH$.

So, V = V'

Hence, the volume of cone z has the same base area as cylinder y but its height is 3 times the height of cylinder y have the same volume. (Answer)