Chapter 1.3, Problem 1.7AFP

Interpretation Introduction

Interpretation:

The density of Venus in ${\text{g/cm}}^{\text{3}}$ is to be calculated. Also, a road map for the solution is to be drawn.

Concept introduction:

Density is defined as mass per unit volume. Mass and volume are physical quantities and the units of mass and volume are fundamental units. Density is the ratio of mass to the volume. The unit of volume is derived from the units of mass and volume. The SI unit of density is ${\text{kg/m}}^{\text{3}}$.

The formula to calculate density is,

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

Mass is a physical quantity and its SI unit is kilograms $\left(\text{kg}\right)$. It is the measure of the quantity of the matter present in an object. The other units of mass are grams, milligrams.

Volume is a physical quantity and its SI unit is cubic meter $\left({\text{m}}^{\text{3}}\right)$. The other units of the volume are liter, milliliter, cubic decimeter, microliter.

The relation between diameter and radius is,

$\text{radius}\left(r\right)=\frac{\text{diameter}\left(d\right)}{2}$

The formula to calculate the volume of a sphere is,

$\text{Volume}=\frac{4}{3}\pi r^3$