Question

The ratio between the radius of the base and the height of the cylinder is 2:3.if its volume is 1617cm^3,the total surface area of the cylinder is?

Answer 1

Do know the formula for the volume of a right circular cylinder? If you do, I won't have to look for it. :)

Answer 2

I know how to do the problem. I just need that formula.

Answer 3

pi r^2h

Answer 4

Ok.

Let h = 3x and r = 2x. r/h = 2/3 so we're okay with that.

V = pi( r^2)h

1617 = pi * (2x)(2x) ( 3x)

Solve for x and post here.

Answer 5

1617 = pi * 12 x^3

Now, what's next?

Answer 6

x=3.5

Answer 7

Based on your work, then h = 3*(3.5) and r = 2(3.5).

So, what are the values of h and r?

Answer 8

h=10.5 r=7

Answer 9

Total Area of cylinder = 2 pi r h + 2 B where B is the area of the circular base.

TA = 2 pi r h + 2 pi r ^2

Fill in for r and h and crank out the answer.

Post here.

Answer 10

T.A=770

Answer 11

square cm. Yes.