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!

my guess would be b and d, but i didn’t actually get out the pen and paper. lol

look at the picture.

1.

ef : ab = 2 : 3

gf : cb = 2 : 3

gh : cd = 2 : 3

he : da = 2 : 3

2.

∠a ≅ ∠e

∠b ≅ ∠f

∠c ≅ ∠g

∠d ≅ ∠h

3.

use pythagorean theorem:

the length of the abcd trapezoid sides:

|ab| = 3 cm

|bc| = 10 cm

|cd| = 3(3) cm = 9 cm

|da| = 8 cm

the perimeter of abcd = 3 + 10 + 9 + 8 = 30 cm

the ratio of perimeters of the tarapezoids is equal 2 : 3.

substitute:

      cross multiply

      divide both sides by 3