Question

Does doubling the height of a cylinder have the same effect on the volume of a cylinder as doubling the radius? Please and thankss

Answer 1

Infodump! Do you recall the volume of a cylinder? Here's the formula:\[V_{cylinder}=\pi r^2h\]So what's the difference between doubling the height:\[V_1=\pi r^2\color{red}{2h}\]and doubling the radius:\[V_2=\pi(\color{red}{2r})^2h\]

Answer 2

okay, thankss

Answer 3

no, give him the medal, stopit

Answer 4

Wait where'd he go

Answer 5

(Make sure you read though it to understand it)
Ok, Mexy, here is an example just to help make it clear:

\(V_\text{cylinder}=\pi r^2 h\)
now, take this and add in simple numbers to the variables
\(V_\text{cylinder}=\pi (10)^2 (5)\)

convert it into the doubling of the height:
\(V_\text{x2height}=\pi (10)^2 (2(5))\) which gives you `3141.6`

convert it into the doubling of the radius:
\(V_\text{x2radius}=\pi (2(10))^2 (5)\) which gives you `6283.2`

This means that, `no`, the doubling of the height is the same as the doubling of the radius.

Answer 6

alr tysm ext

Answer 7

Medal for the man of the hour!! (🏅rain ensues)

Answer 8

You're welcome, and don't forget to thank Kitt for that data dump, that rascal. .-.

Answer 9

ok