Calculate the volume of the following objects

Question

Calculate the volume of the following objects:

(i) An iron sphere of mass 5 kg, the density of iron is 8200 $kgm ^{-3}$.
$(6.1 imes 10^{-4} m^{3})$

(ii) 200 g of lead shot having density 11300 $kgm^{-3}$.
$(1.77 imes10^{-5} m^{3})$

(iii) A gold bar of mass 0.2 kg. The density of gold is $19300 kg–^{-3}$.
$(1.04 imes10^{-5} m^{3})$

Accepted Answer

Solution:

(i) Mass of iron sphere = m = 5 kg

Density of iron = $ ho$ = $8200 kgm^{-3}$

Volume of iron sphere = V =?

Volume =$\frac{Mass}{Density}$

Volume =$\frac{5}{8200}$

= 0.00060975 = $6.0975 imes10^{-4}$

Volume = $6.1 imes 10^{-4}m^{3}$

(ii) Mass of lead shot = m = 200 g =$\frac{200}{1000}$ kg = 0.2 kg

Density of lead = $ ho$ = $11300 kgm^{-3}$

Volume of lead shot = V =?

Volume =$\frac{Mass}{Density}$

Volume =$\frac{0.2}{11300}$

= 0.000017699 = $1.76699 imes 10^{-5}$

Volume = $1.77 imes 10^{-5}m^{3}$

(iii) Mass of gold bar = m = 0.2 kg

Density of gold = $ ho$ = $19300 kgm^{-3}$

Volume of gold bar = V =?

Volume =$\frac{Mass}{Density}$

Volume =$\frac{0.2}{19300}$

= 0.000010362 = $1.0362 imes 10^{-5}$

Volume = $1.04 imes 10^{-5}m^{3}$