Question

The cylinder and cube have same surfacearea Find the length of the cube x

[cylinder drawing] surface area 8 and radius 2cm

Answer 1

Explanation:

Let's start by writing the formulas for the surface area of a cylinder and a cube:

Surface area of a cylinder = 2πr(r + h), where r is the radius of the circular base and h is the height of the cylinder.

Surface area of a cube = 6x^2, where x is the length of each side.

Since the surface areas of the cylinder and the cube are equal, we can set their formulas equal to each other:

2πr(r + h) = 6x^2

We need to solve for x, so let's rearrange this equation x^2 = πr(r + h) / 3

Given surface area 8 and radius 2

then, we have

8=2π*2(2+h)

8=8π+4πh

2=2π+πh

h=2(1-π)

h=-4.28 cm