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PLEASE HELP I'LL GIVE MEDAL
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 it's height is three times the height of cylinder Y. Which two figures have the same volume?
Choices:
1) Prism M
Cylinder p
Cone Z
And
2)Pyramid N
Prism Q
Cylinder Y

Respuesta :

antonsandiego
Сone Z and Cylinder Y have the same volume. 
V=1/3*π*R²*H
vicobusso

Answer:

Cone Z and Cylinder Y

Step-by-step explanation:

To know what's happening here you need to compare volume equations:

  • Prism M

[tex]V=B*h_{M}[/tex]

Where B is base area and h is height.

  • Pyramid N

[tex]V=\frac{1}{3}*h_{N}*B[/tex]

Where B is base area and h is height.

  • Cylinder P

[tex]V=\pi*r^{2}*h_{P}[/tex]

Where r is the radio and h is height.

  • Prism Q

[tex]V=B*h_{Q}[/tex]

Where B is base area and h is height.

  • Cone Z

[tex]V=\frac{\pi*r^{2}*h_{Z}}{3}[/tex]

Where r is the radio and h is height.

  • Cylinder Y

[tex]V=\frac{\pi*r^{2}*h_{Q}}{3}[/tex]

Where r is the radio and h is height, but you know [tex]h_{Y}[/tex] is the same as [tex]3*h_{Y}[/tex] so

[tex]V=\frac{\pi*r^{2}*h_{Q}}{3}[/tex]

And that's why Cone Z and Cylinder Y is the right answer.