SOLUTION: The volume of water Vm^3, is directly proportional to the square of its cross-sectional radius, R m. If the radius of the pipe is increased by 150%, find the percentage increase o
Algebra.Com
Question 1186076: The volume of water Vm^3, is directly proportional to the square of its cross-sectional radius, R m. If the radius of the pipe is increased by 150%, find the percentage increase of the volume.
Found 4 solutions by Alan3354, josgarithmetic, greenestamps, ikleyn:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The volume of water Vm^3, is directly proportional to the square of its cross-sectional radius, R m. If the radius of the pipe is increased by 150%, find the percentage increase of the volume.
========================
"increased by 150%" ---> 100% + 150% = 250%
r is multiplied by 2.5
V is multiplied by 2.5^2 = 6.25
An increase of 5.25 or 525%
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
k, a proportionality constant
-
If R is made to 150% of its original, then ratio of volumes:
You can finish the exact meaning for the description.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
The problem says the volume of water (in the pipe), V, is proportional to the square of the cross-sectional radius, r. That means we are talking about a pipe of fixed length. So when the radius is increased, the length remains the same.
If the radius r of the pipe is INCREASED BY 150%, then the new radius is r plus 150% of r, which is 2.5r.
Then, since the volume is proportional to the square of the radius, the volume is increased by a factor of (2.5)^2 = 6.25.
And that means the percent INCREASE in the volume is 525%.
Answer by ikleyn(52784) (Show Source): You can put this solution on YOUR website!
.
The volume of water Vm^3 , is directly proportional to the square
of its cross-sectional radius, R m. If the radius of the pipe is increased by 150%, find the percentage increase of the volume.
~~~~~~~~~~~~~~~~
The solution by @josgarithmetic is totally wrong, as usual for most his solutions.
Ignore it, for your safety.
RELATED QUESTIONS
Can someone help me with this problem please?
The surface area of a sphere is directly (answered by kev82)
The surface area of a sphere is directly proportional to the square of its radius r. The... (answered by Alan3354)
The resistance R of a copper wire varies directly with its radius r and inversely... (answered by ankor@dixie-net.com)
The volume V of a cylinder with a fixed height is directly proportional to the square of... (answered by ankor@dixie-net.com)
Is the volume of a sphere and its radius directly... (answered by ikleyn)
Dear Math Tutor,
A circular ring has a cross section. if outer radius is 22mm and the (answered by KMST)
ELECTRICAL RESISTANCE: The electrical resistance of a wire, R, varies directly as its... (answered by lwsshak3)
The surface area of a sphere is directly proportional to the square of its radius.A... (answered by Alan3354)
The cross-sectional area of a certain tree is a linear function of time. If the radius of (answered by Alan3354)