If the height is changed to 3, does this have the same effect on the volume as changing the radius to 1?


If the height is now 3, then the new volume is π units3.


If the radius is now 1, then the new volume is π units3.


Therefore, changing the height to half of its original value and changing the radius to half of its original value does the volume. Halving the height of the cone the volume, while halving the radius of the cone results in the volume.

Respuesta :

Answer:

4, 2, not have the same effect on, halves, 1/4

Step-by-step explanation:

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Halving the height of the cone halves the volume, while halving the radius of the cone results in 1/4 the volume.

How to find the volume of a cone?

We are given a right cone with;

radius = 2

height 6

volume is; V = ¹/₃π(2)²6 = 8π units³

If the height is now 3, then the new volume is;

¹/₃π(2)²3 = 4π units.

If the radius is now 1, then the new volume is;

¹/₃π(1)²6 = 2 units.

Therefore, changing the height to half of its original value and changing the radius to half of its original value does not have the same effect on the volume. Halving the height of the cone halves the volume, while halving the radius of the cone results in 1/4 the volume.

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