Chapter 1.7, Problem 23PPS

To determine

To find the surface area and volume

Answer to Problem 23PPS

The volume is $785m{m}^3$

The surface area is $314m{m}^2$

Explanation of Solution

Given information:

Radius of cylinder= $5mm$

Height of cylinder= $10mm$

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:

Substituting values in the formula,

Surface area= $2\pi (5)(10)$

Solving,

Surface area= $2\pi (50)$

So,

surface area= $100\pi$

Putting value of $\pi$ =3.14,

Hence, surface area is $314m{m}^2$ .

Volume,

Substituting values,

  =$\pi {(5)}^2(10)$

Solving,

  =$\pi (25)(10)$

So,

  =$(250)\pi$

Putting value of $\pi$ =3.14,

Hence, volume is $785m{m}^3$ .