anonymous
  • anonymous
Please help, what effect does doubling the radius of a cone's base have on the cone's volume? Thank you! :)
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Mertsj
  • Mertsj
Did you ever think of doubling the radius and calculatng the volume and see what happens to the volume?
anonymous
  • anonymous
Yes, but I don't have a number to work off of.
anonymous
  • anonymous
Let’s take scenario one where we double the height. We know the formula for volume is 1/3 times Pi times R squared times height. All of these are multiplication. So if I double the height, the volume will become 1/3 times Pi times the radius squared times twice the height. Now, let’s look at scenario two where we double the radius. In this case, the volume is 1/3 times Pi times inch of R. I’ve got two r squared times height which becomes one-third times Pi times four R squared times h which is the same as one third times Pi times r squared times four h. So this is four times the volume of the original one and this is twice the volume of original. Notice 2h, this is 4h. Everything else is the same. So this is one, yeah. 1/3 times Pi times r squared is the same. This is four times height, this is two times height. So, the volume here doubles. Here it’s four times so where the doubling of the height will have the same effect? No, it would actually quadruple in case we double the radius and double if we double the height.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

Mertsj
  • Mertsj
|dw:1334196982470:dw|
Mertsj
  • Mertsj
So we see that if we double the radius the volume becomes 4 times as great. That is because we replaced r with 2r and then we squared it. So since 2^2 is 4, we introduced a factor of 4 and the volume is 4 times the original volume.
anonymous
  • anonymous
Thanks everyone! :)
Mertsj
  • Mertsj
When you don't have any numbers to work off of, make up some of your own.

Looking for something else?

Not the answer you are looking for? Search for more explanations.