Question

Во сколько раз изменится объём цилиндра, если его высоту уменьшить в 3 раза?

Answer 1

V=π r2 h
т.к. h (высота) является множителем то объём уменьшится в 3 раза

Answer 2

Calculating the Change in Cylinder Volume

To calculate the change in the volume of a cylinder when its height is reduced by 3 times, we can use the formula for the volume of a cylinder, which is given by:

V = πr^2h

Where: - V = Volume of the cylinder - π ≈ 3.14159 - r = Radius of the cylinder - h = Height of the cylinder

If the height is reduced by 3 times, the new height (h') will be 1/3 of the original height (h). Therefore, the new volume (V') can be calculated using the formula:

V' = πr^2(h/3)

To find the change in volume, we can calculate the ratio of the new volume to the original volume:

Change in Volume = V'/V = (πr^2(h/3)) / (πr^2h) = (h/3) / h = 1/3

So, the volume of the cylinder will decrease by 1/3 if its height is reduced by 3 times.