Question

A cylindrical piece iron has a radius of 6 cm and a height of 12 cm. Iron has

a density of 7.87 grams per cubic centimeter. What is the mass of the iron
in grams? Use your calculator's value of pi and do not round until your final
answer. For your final answer, round to the nearest whole number

Answer 1

10,681 grams

Explanation:

Density is mathematically defined as mass divided by the volume of the object.

#We calculate the iron's volume as:

`V=\pi r^2h\\\\=\pi * 6^2* 12\\\\=432\pi \ cm^3`

#Given that the density is 7.87g/cm^3, it's mass is calculated as:

`\rho=(Mass)/(Volume)\\\\7.87=(Mass)/(342\pi )\\\\\\Mass=432\pi * 7.87\\\\=10681\ grams`

Hence, the mass of the iron is 10,681 grams