SOLUTION: To make a larger size of canned vegetables, the height of a cylinder is increased by 40%. By what percent must the radius increase for the volume to triple? A. 47% B. 46% C.48% D.

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Question 1189502: To make a larger size of canned vegetables, the height of a cylinder is increased by 40%. By what percent must the radius increase for the volume to triple?
A. 47% B. 46% C.48% D. 49% E. 50%

Found 2 solutions by ankor@dixie-net.com, Alan3354:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
to make a larger size of canned vegetables, the height of a cylinder is increased by 40%.
By what percent must the radius increase for the volume to triple?
let x = radius multiplier
%28pi%2A%28x%2Ar%29%5E2+%2A+1.4h%29%2F%28pi%2Ar%5E2%2Ah%29 = 3
:
%28pi%2Ax%5E2%2Ar%5E2+%2A+1.4h%29%2F%28pi%2Ar%5E2%2Ah%29 = 3
cancel pi, r^2 and h
%28x%5E2+%2A+1.4%29%2F1 = 3
:
1.4x^2 = 3
x^2 = 3/1.4
x^2 = 2.143
x = sqrt%282.143%29
x = 1.464
That would be about a 46% increase in the radius

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Is it to be tripled before or after the 40% change?