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Kobotan [32]
3 years ago
14

a cylinder and a cone start with the same radius and height the radius of the cone is then trippled and the height of the cone i

s cut in half. the radius of the cylinder stays the same
Mathematics
1 answer:
Fittoniya [83]3 years ago
3 0

Answer:

Therefore the cone is the greatest relative increase in volume.

Step-by-step explanation:

Cone:

Original cone = (1/3)π(h)r^2

Changed cone = (1/3)π(h/2)(3r)^2

= (1/2)(1/3)π(h)9r^2

= (9/2) * Original cone

=4.5 * Original cone

Cylinder:

Original cylinder = π(h)r^2

Changed cylinder = π(2h)r^2

=2 * Original cylinder

Therefore the cone is the greatest relative increase in volume.

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