the total surface area of a cylinder is 6512 square centimetre and circumference of its base is 88 cm. find the volume of cylinder?

Step-by-step explanation:

volume = pi (r^2) (h)

circumference=2 (pi) (r)

so

88=2 (pi) (r)

44=pi (r)

44/pi=radius

And plug this into volume formula

Volume=pi (44/pi) ^2 (h)

Now we need to find the height

so use formula for surface area of cylinder

A=2 (pi) (r) (h) + 2 (pi) (r^2)

We already know radius=44/pi so plug that in

6512=2 (pi) (44/pi) (h) + 2 (pi) (44/pi) ^2

From here you solve for h to find the height and the plug all these values into the formula for volume!