Question

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

Answer 1

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!