Question

A solid cylinder has a radius of 4 cm and a length of 8 cm is melted down and recast in a solid cube find the dimension of the cube.

Answer 1

LWH each = 7.09cm

Explanation:

Area of a cylinder

A = 2πrh+2πr2

A = 2π x 4 x 8 = 32 x 2π + 2π x 16

A = 301.59cm^2

To find the multiplier for a cube the same area you take the 1st shape area and square root it square root again and add the square root of each so that the measures are (1/3 - 1/100) of the last measure in length.Remember we only need to square 3 values and sum the last two values before dividing by 3.

√301.59 = √ + 17.3663467661 = √ + 4.1672948979

= 17.3663467661 + 4.1672948979 = 21.533641664/3 =7.17788055467

- Length/100 = 8/100 =0.08

7.17788055467 -0.08 =7.09788055467

This helps us find the measures of the cube at 7.09cm

Area of a cube = 7.09 x 7.09 x 6 = 301cm^2 and match that of the cylinder.

Answer 2

7.37108cmx7.37108cmx7.37108cm

Explanation:

Find the volume of the cylinder then take the cube route of that. You should end up with ~7.38108cm which is the length, width, and height of your cube. The volume is 402.12386cm cubed.