Chapter 4, Problem 4.16P

(a)

Interpretation Introduction

Interpretation:

An expression for the rate of change is to be determined.

Concept Introduction:

Volume $\left(V\right)$

of a tank is calculated as:

  $V=wA$......... (1)

Here, $w$ is the height of the tank and $A$ is the cross-sectional area of the tank.

Area of a triangle is calculated as:

  $A=\frac{1}{2}bh$......... (2)

Here, $b$ is the base of the triangle and $h$ is the height of the triangle.

(b)

Interpretation Introduction

Interpretation:

An expression for the time required for the surface to rise from $h_1\text{ to }{h}_2$ is to be determined.

Concept Introduction:

Volume $\left(V\right)$

of a tank is calculated as:

  $V=wA$......... (1)

Here, $w$ is the height of the tank and $A$ is the cross-sectional area of the tank.

Area of a triangle is calculated as:

  $A=\frac{1}{2}bh$......... (2)

Here, $b$ is the base of the triangle and $h$ is the height of the triangle.