Chapter 11.7, Problem 35PPS

(a)

To determine

To find: the metal.

Answer to Problem 35PPS

Therefore, the metal is copper.

Explanation of Solution

Given:

Mass= 15.6 kilogram

radius = 0.0748 meter.

Calculation:

The density of an object is $D=\frac{m}{v}$

The volume of a sphere is $V=\frac{4}{3}\pi r^3$

So, the density of the object is as follows.

  $D=\frac{m}{v}$

  $=\frac{m}{\frac{4}{3}\pi r^3}$

  $=\frac{3m}{4\pi r^3}$

  $D=\frac{3m}{4\pi r^3}$

  $=\frac{3(15.6)}{4\times 3.14\times {(0.0748)}^3}$

  $=8898.794862$

  $\approx 8900$

Therefore, the metal is copper.

Conclusion:

Therefore, the metal is copper.

(b)

To determine

To find: the metal

Answer to Problem 35PPS

Therefore, the metal is lead.

Explanation of Solution

Given:

Mass =285.3 kilogram

Radius =0.1819 meter.

Calculation:

The density of an object is $D=\frac{m}{v}$

The volume of a sphere is $V=\frac{4}{3}\pi r^3$

So, the density of the object is as follows.

  $D=\frac{m}{v}$

  $=\frac{m}{\frac{4}{3}\pi r^3}$

  $=\frac{3m}{4\pi r^3}$

  $D=\frac{3m}{4\pi r^3}=\frac{3(285.3)}{4\times 3.14\times {(0.1819)}^3}$

  $=11316.57654$

  $\approx 11300$

Therefore, the metal is lead.

Conclusion:

Therefore, the metal is lead.