We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.

+0

# Some help with one problem would be nice C:

+1
215
1

(1 pt) Given that the volume of a cylinder is 182, and the radius of the cylinder is twice the height, find the surface Area of the cylinder.

Note: Your answer must be a number. No arithmetic operations are allowed.

Jun 6, 2018

### 1+0 Answers

#1
+2

Vcyinder  =  pi ( r)^2 * h

182 = pi ( r)^2 * (1/2)r      multiply both sides  by 2

364  = pi * r^3     divide  both sides by pi

364 / pi  = r^3   take the cube root of both sides

∛ [ 364 / pi ]  = r

The surface area is  given by :

( 2pi * r * h )  + ( 2 * pi * r^2)  =   2pi [ 2* r * h + r^2 ]  =  2pi  [ 2r * (1/2)r + r^2 ]  = 2 pi (2)r^2 = 4pi r^2

So.....subbing for  r, we have

4 pi [ ∛ [ 364 / pi ] ]^2  ≈ 298.66 units^2   Jun 6, 2018
edited by CPhill  Jun 7, 2018