The volume of a cylinder (think about the volume of a can) is given by V = πr2h?

Question

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.

What is the measurement of the height if the radius of the cylinder is 3 centimeters? Round your answer to the hundredth's place.

Answer 1

let h=f(r)
now make h as subject
h=19.25/r
f(r)=19.25/r
to find f(r)
f(r)=19.25/3
f(r)=6.42 cm
therefore height is 6.42 cm

Answer 2

You are wrong. The volume of a cylinder is given by V = hπr^2 and not πr2h!

Assuming the corrected formula you have

121 = hπr^2 ==> h = 121 /(πr^2) which has h as a function of r.

Thus for r=3cm h= 121/3.14x3^2 = 121/(3.14x9) = 4.3 cm

Answer 3

V = 121 r = 3 (pi) purely placed those into your formulation V = (pi) x r x 2 x h 121 = (pi) x 3 x 2 x h 121 = (pi) x 6 x h 121 = 6(pi) x h 121 / 6(pi) = h sorry not have been given my calculator on me on the min.

Answer 4

h = V / π.r ² = 121 / π.r ²
h = 121 / π.3 ² = 121 / (9 π) = 4.28 cm

Answer 5

a) V = πr^2h

But V=121 cm^3

121 = πr^2h

h =121/(πr^2)

h =121/[π(3^2)]

h = 121/(9π)

h = 4.279 cm

Answer 6

a) h =V/πr^2

b) if V = 121cm^3 and r = 3cm

h = (121)/(π3^2)

h = 4.28 cm

Answer 7

h = V/Pir^2

h = 121/pi*9 =4.28 cm

Answer 8

1 over (Pi X 3 squared) X V = H


If this is homework, shame on you!

Answer 9

i think it's 6.41cm