Chapter 1.7, Problem 2CCYP

To determine

To find the surface area and volume

Answer to Problem 2CCYP

Volume is $1004.8inche{s}^2$ .

Surface area is 628 inches² .

Explanation of Solution

Given information:

Radius of cone= $8in$

Height off cone= $15in$

Slant height of cone= 17in

Formula used:

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

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

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

Calculation:

Substituting values,

Surface area= $=\pi (8)(8+17)$

Solving,

Surface area $=8\pi (25)$

So,

Surface area= $200\pi$

Hence, surface area is 628 feet² .

Volume= $\frac{1}{3}\pi {(8)}^2(15)$

Solving,

Volume= $\pi (64)(5)$

So,

Volume= $320\pi$

Hence, volume is $1004.8inche{s}^2$ .