Question

The volume of a can (right circular cylinder) is 10 cubic feet. the curved surface area is the area of the side. write the curved surface area s as a function of the radius r. s =

Answer 1

The volume formula of a cylinder is given as:

V = π r^2 h

So plugging in the value of the volume:

10 ft^3 = π r^2 h

h = 10 / (π r^2)  ---> eqtn 1

 

The formula for the surface area of cylinder is:

s = 2 π r h + 2 π r^2

plugging in eqtn 1:

s = 2 π r [10 / (π r^2)] + 2 π r^2

s = (20 / r) + 2 π r^2                         (ANSWER)