Question

1. Cylinder A, B, and C have the same radius but different heights. Put the cylinders in

Answer 1

The order of volume from least to greatest is C, B and A.

Step-by-step explanation:

Given:

Three Cylinders namely A, B, and C with different heights have the same radius.

To Find:

Arrange the cylinders from least to greatest with respective to their volume.

Formula for volume of cylinder:

                                               V= $\pi r^{2} h$

                                           i.e V∝ h              (for constant radius)

where,

           r = radius of cylinder

           h = height of cylinder

we see that Volume is directly proportional to height.

Consider, $h_{1}, h_{2},h_{3}$ are the heights of cylinder A,B,C respectively, such that;

                                    $h_{1}$ > $h_{2}$ > $h_3}$

And,  $V_{1}, V_{2},V_{3}$  are the volume of cylinder A,B,C respectively.

So the order of volume will also be,

                                     $V_{1}$ > $V_{2}$ > $V_3}$