Hi,
I just came across this question, my answer might be a bit late but it could help other people. I had the same concern about 150n. (note n=pi)
In order to maximize the volume we'll maximize the radius therefore taking the longest side of the rectangle as the circumference.
Circumference = 10 = 2r*n
r*n=10/2=5
r=5/n
In your question below, you wrote r=5 instead of r=5/n
Now that we have our radius, let's calculate the volume :
V= r^2*n*h
V=(5/n)^2*n*6
V=(25/n^2) *n *6
V= 25/n*6 = 150/n
Answer C!
jfranciscocuencag wrote:
GloryBoy92 wrote:
TurgCorp wrote:
A thin rectangular sheet of metal is 6 inches wide and 10 inches long. The sheet of metal is to be rolled into to form a cylinder so that one dimension becomes the circumference of the cylinder and the other dimension becomes the height. What is the volume of the largest possible cylinder?
A) \(\frac{60}{π}\)
B) \(\frac{90}{π}\)
C) \(\frac{150}{π}\)
D) 360π
E) 600π
Hi guys,
I knew that the radius had to be the highest because it gets squared
Here's my answer
Volume of cylinder = π * R^2 * Height
= π * 5^2 * 6
= π * 150
Why is the answer 150/π instead of π150?What am i doing wrong?
I have the same question as
GloryBoy92Can someone please explain to us?
Kind regads!