Chapter 1, Problem 40SGR

To determine

Find the surface area and volume

Answer to Problem 40SGR

Volume is $37.68f{t}^3$ .

Surface area is $75.36$ ft².

Explanation of Solution

Given information:

Slant height= $5ft$

Radius= $3ft$

Height= $4ft$

Formula used:

Surface area= $\pi r(r+l)$

Volume= $\frac{1}{3}\pi r^{2}h$

Where $h$ is height, $r$ is radius, $l$ is slant height.

Calculation:

Substituting values,

Surface area= $\pi 3(3+5)$

Solving,

Surface area= $\pi 3(8)$

So,

Surface area= $24\pi$

Putting value of $\pi$ =3.14,

Surface area is $75.36$ ft².

Now,

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

Solving,

Volume= $\pi (3)(4)$

So,

volume= $12\pi$

Putting value of $\pi$ =3.14,

Hence, surface area is $37.68f{t}^3$ .