Question

Need help. Medal for 1st best answer.:)
A company is considering changing the size of its cylinder-shaped container, but they don't know what is going to happen to the volume. They want to double the radius, but leave the height alone. What happens to the volume?


The volume becomes one and a half times the original.

The volume becomes twice the original.

The volume becomes three times the original.

The volume becomes four times the original

Answer 1

Okay, now what's the formula for Volume of a cylinder? It's \[\Pi r ^{2} h \]
When they say that the radius gets doubled, it means that the 'r' from the previous equation now becomes '2r'.
Now, substitute '2r' in the formula.

Answer 2

We get, \[\pi (2r )^{2} h\]
since the height remains the same.
Which will be : \[4 \pi r ^{2}h\]
Therefore,the volume becomes four times the original. :)

Answer 3

Ohhhh... I see what you did:) Thank you!