V = πr2 h where r is the radius of the cylinder and h is the height of the cylinder. V= 121 how h as a functi

Question

given by V = πr2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 121 cubic centimeters.
a) Write h as a function of r. Keep "" in the function's equation.

Answer 1

V = pi r^2 h
To express h in terms of the other quantities, divide each side of the formula by pi r^2. That leaves h alone on the right hand side.
V / (pi r^2) = h
Now turn the formula round to put h on the left:
h = V / (pi r^2).

Now you can substitute V = 121 cm^3:
h = 121 / (pi r^2) cm^2.
Note that r needs to be expressed in cm.

Answer 2

V=πr^2 h here h can be represented as
h=V/ πr^2 =121/πr^2 ,VOL shud have units as cm^3
so the radius has the same in cm

Answer 3

121 = πr^2h
=> h = 121/πr^2

Answer 4

V = πr2h
by deviding both sides of the equation by (πr2)
we get

v/(πr2)=h
now let us use the fact that the volume is 121cc
h=121cc/(πr2)

Answer 5

the volume will be ratio of height to radus the height is 2/3 of radius

Answer 6

121/πr^2

Answer 7

Try to get h by itself on one side of the equation.

V = pi r^2 h Divide both sides by pi r^2
V/(pi r^2) = h

Answer 8

r = sq rt [121/(Pi*h)]

h = 121/Pi*r*r

Answer 9

v = πr^2h
v/πh = r^2
(v/πh)^0.5 = r