Chapter 1, Problem 1.45QP

(a)

Interpretation Introduction

Interpretation:

The mass of a sphere of gold with a radius of $10cm$ has to be calculated.

Concept Introduction

Volume of the sphere

$\begin{array}{l}{\text{V}}_{\text{sphere}}\text{=}\frac{\text{4}}{\text{3}}\text{π}{\text{r}}^{\text{3}}\\ \text{r}\text{-}\text{radius}\text{of}\text{the}\text{sphere}\end{array}$

The radius of the sphere can be calculated by using the above equation.

Volume is the ratio of mass to density and its SI unit is ${\text{m}}^{\text{3}}$.

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

(b)

Interpretation Introduction

Interpretation:

The mass of a cube of platinum with edge length of $0.040mm$ has to be calculated.

Concept Introduction

Volume of the cube

$\begin{array}{c}{\text{V}}_{\text{cube}}\text{=}{\text{a}}^{\text{3}}\\ \text{a}\text{-}\text{edge}\text{length}\text{of}\text{cube}\end{array}$

Volume is the ratio of mass to density and its SI unit is ${\text{m}}^{\text{3}}$.

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

(c)

Interpretation Introduction

Interpretation:

The mass of ethanol with a volume of $50mL$ has to be calculated.

Concept Introduction

Volume is the ratio of mass to density and its SI unit is ${\text{m}}^{\text{3}}$.

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