Answer:
11.32cm
Step-by-step explanation:
This question describes a cylinder rod formed from silicon with length 21.3cm and mass 5kg. The density of the silicon is 2.33g/cm3.
To calculate the diameter, the radius is needed. To calculate the radius, the volume is needed. To calculate the volume, the formula: density = mass (m) / volume (V) is used.
Mass = 5kg, which is 5 kg × 1000g = 5000g
Density= 2.33g/cm3
Hence; volume= mass / density
= 5000/2.33
= 2145.9 cm3
Volume of cylinder= πr^2h
Where h= 21.3cm and π= 3.142
That is; r^2 = volume/πh
= r^2 = 2145.9/3.142×21.3
= r^2 = 2145.9/66.9246
= r^2 = 32.06
r= √32.06
r= 5.66cm
If radius of the cylinder is 5.66cm, the diameter is twice of the radius.
That is, diameter (d) = 5.66 × 2
= 11.32 cm
Therefore, the diameter of the cylinder is 11.32cm.