Chapter 1.7, Problem 25PPS

a.

To determine

To find the volume of cylinder

Answer to Problem 25PPS

Volume is $2359.3inche{s}^3$ .

Explanation of Solution

Given information:

Diameter of cylinder= $15\frac{1}{2}inches$

Height of cylinder= $11\frac{3}{4}inches$

Formula used:

Surface area of cylinder= $2\pi rh$

Volume of cylinder= $\pi r^{2}h$

Where $h$ is height and $r$ is radius.

Calculation:

Radius= $\frac{diameter}{2}$

So, radius is $15\frac{1}{4}$

Volume,

Substituting values,

  =$\pi {(15\frac{1}{4})}^2(11\frac{3}{2})$

Solving,

  =$\pi {(\frac{31}{4})}^2(\frac{25}{2})$

So,

  =$(\frac{24025}{32})\pi$

And,

  =$750.7\pi$

Putting value of $\pi$ =3.14,

Hence, volume is $2359.3inche{s}^3$ .

b.

To determine

To find the surface area of cylinder

Answer to Problem 25PPS

Surface area is $608.92inche{s}^2$ .

Explanation of Solution

Given information:

Diameter of cylinder= $15\frac{1}{2}inches$

Height of cylinder= $11\frac{3}{4}inches$

Formula used:

Surface area of cylinder= $2\pi rh$

Calculation:

Radius= $\frac{diameter}{2}$

So, radius is $15\frac{1}{4}$

Substituting values in the formula,

Surface area= $2\pi (\frac{31}{4})(\frac{25}{2})$

Solving,

Surface area= $\pi (\frac{775}{4})$

So,

surface area= $193.75\pi$

Putting value of $\pi$ =3.14,

Hence, surface area is $608.92inche{s}^2$ .