SOLUTION: Help with exponential functions. The formula for the volume of a cylinder of radius r is V = π r^2h a) Solve this equation for r. Write two versions, one in radical form and on

Algebra ->  Rational-functions -> SOLUTION: Help with exponential functions. The formula for the volume of a cylinder of radius r is V = π r^2h a) Solve this equation for r. Write two versions, one in radical form and on      Log On


   



Question 1138950: Help with exponential functions.
The formula for the volume of a cylinder of radius r is V = π r^2h
a) Solve this equation for r. Write two versions, one in radical form and one in exponential form.
b) Determine the radius of a cylinder with a volume of 4356π cm^3 and height of 9 cm.

Found 2 solutions by josgarithmetic, Boreal:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
done yesterday


Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
V = π r^2h
r^2=V/(pi*h)
r=sqrt (V/(pi*h))
r=V^(1/2)/(pi*h)^(1/2)
4356 pi=pi*r^2*9
r^2=484
r=22 cm
r=66/sqrt(9)=22 cm. (the pi cancels)