How will the volume of the cone change if: a) The height of the cone is increased n-times without changing

| March 1, 2021 | education

How will the volume of the cone change if: a) The height of the cone is increased n-times without changing its base b) The radius of the base of the cone is increased n-times without changing the height c) The height of the cone is increased n-times, and the radius of the base is reduced by n-times d) Increase the height of the cone and the radius of the base by n-times

The volume of the cone is:

V = Sosn * h / 3 = π * R ^ 2 * h / 3.

A) If the height of the cone is increased by n – times, then the volume of the cone will increase by n times.

Answer: The volume of the cone will increase n times.

B) If the radius of the base of the cone is increased by n – times, then the volume of the cone will increase by n ^ 2 times.

Answer: The volume of the cone will increase n ^ 2 times.

C) If the height of the cone is increased by n times, and the radius of the base of the cone is reduced by n – times, then the volume of the cone will decrease by n times.

E) Answer: The volume of the cone will decrease n times.

If the height of the cone and the radius are increased by n times, then the volume of the cone will decrease by n ^ 3 times.

Answer: The volume of the cone will increase n ^ 3 times.



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