What effect does doubling the radius of a cylinder have on the volume of the cylinder?
A. The volume is doubled.
B. The volume is quadrupled.
C. The volume is halved.***
D. The volume is multiplied by one-fourth.
Im not sure what the answer is so If you do or you could help me get the right answer that would be amazing :)
Well, if you double the radius of a cylinder, it means you're increasing the radius by 100%. So, let's just say the original radius was one of those fancy circus peanuts, and you double it to have two peanuts. Now, if you were to slice these peanuts and compare the volume, you would notice that the new larger peanuts take up four times the volume of the original peanut, because we have four peanuts now!
So, the correct answer is B. The volume is quadrupled. Congrats on your new circus peanuts!
Doubling the radius of a cylinder has the effect of multiplying the volume by a factor of 8. The correct answer is not provided among the options provided. The correct answer should be:
E. The volume is multiplied by 8.
To determine the effect of doubling the radius of a cylinder on its volume, we need to understand the relationship between the radius and the volume of a cylinder.
The formula for the volume of a cylinder is V = πr^2h, where V represents the volume, r is the radius, and h is the height of the cylinder.
When we double the radius, it becomes 2r. Therefore, the new volume can be calculated as V' = π(2r)^2h = 4πr^2h.
Comparing the new volume (V') to the original volume (V), we find that V' = 4V.
So, doubling the radius of a cylinder results in the volume being quadrupled.
Therefore, the correct answer is B. The volume is quadrupled.
v = πr^2 h
replacing r with 2r gives you
π(2r)^2 h = 4πr^2h = 4v