If the height of a cylinder is tripled, but the area of the base stays the same, what happens to the volume?

The volume would double.

Here is an example:

The formula for the volume of a cylinder is:

V = (area of the base) x height

Now, let's plug in numbers to see what happens to the volume:

Let's say that cylinder 1 has a base area of 6 and a height of 10. Cylinder 2 would have a base area of 6 and a height of 20.

Let's plug in the values:

V1 = 6x10 = 60

V2 = 6x20 = 120

the volume doubles.

hope this helps :)

1.5%

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1