If the radius of a cylinder is doubled and its height is quartered, what will be the percebt increase in its volume?

Question

If the radius of a cylinder is doubled and its height is quartered, what will be the percebt increase in its volume?

1 Answer

Impact of this question

1690 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-15T12:03:03

There will not be percentage increase when the radius is doubled and the height is quartered,

Explanation:

A cylinder's volume is equal to the base X height.
Doubling the radius (r) and quartering the height (h) makes the increase (I) equal to the new size / old size
$I = \frac{(π \cdot {(2 r)}^{2}) \cdot (\frac{h}{4})}{(π \cdot r^{2}) \cdot (h)}$ $I=((pi*(2r)^2)*(h/4))/((pi*r^2)*(h))$
After cancelling the height and pi out, you are left with
$\frac{\frac{4 r^{2}}{4}}{r^{2}}$ $((4r^2)/4)/r^2$
which all cancels out to leaving 1, meaning that the volume did not change.

Science

Math

Humanities

... and beyond

If the radius of a cylinder is doubled and its height is quartered, what will be the percebt increase in its volume?

1 Answer

Explanation:

Related questions

Impact of this question