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jenyasd209 [6]
3 years ago
7

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 three times the height of cylinder Y. Which two figures have the same volume?
Choices:
Prism M
Cylinder p
Cone Z
And
Pyramid N
Prism Q
Cylinder Y
Mathematics
2 answers:
m_a_m_a [10]3 years ago
8 0

Answer:

Answer Cone Z and Cylinder Y.

Step-by-step explanation:

The relationship between the volume of the cone and the volume of the cylinder with the same height and same base is the volume of the cone is 1/3 of the volume of the cylinder.

The formula for the volume of the cone is :

V = 1/3πr^{2}h

The formula for the volume of the cylinder is :

V = πr^{2}h

Let be the height of the cylinder Y. Therefore the height of the cone Z is 3h, when we put it into the formula we get :

V = 1/3πr^{2} (3h) = πr^{2}h

Therefore Cone Z and Cylinder Y have same volume.

Neporo4naja [7]3 years ago
4 0
V=1/3*π*R²*H
Сone Z and Cylinder Y have the same volume. 

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