Chapter 1.7, Problem 5CYU

a.

To determine

To find the volume of candy

Answer to Problem 5CYU

Hence, volume of cone is 27.21 $inche{s}^3$

Explanation of Solution

Given information:

Diameter of cone= 4 inches

Height of cone= 6.5 inches

Slant height= 6.8 inches

Formula used:

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

Calculation:

2(Radius) = diameter

So,

radius= $\frac{4}{2}$ =2

Substituting values,

Volume= $\frac{1}{3}\pi {(2)}^2(6.5)$

Solving,

Volume= $\frac{4}{3}\pi (6.5)$

So,

volume= $8.66\pi$

Putting value of $\pi$ ,

Hence, volume of cone is27.85 $inche{s}^3$ .

b.

To determine

To find the surface area.

Answer to Problem 5CYU

Surface area of cone is 55.264 $nche{s}^2$ .

Explanation of Solution

Given information:

Diameter of cone= 4 inches

Height of cone= 6.5 inches

Slant height= 6.8 inches

Formula used:

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

Calculation:

2(Radius) = diameter

So,

radius= $\frac{4}{2}$ =2

Substituting values,

Area= $\pi (2)(2+6.8)$

Solving,

Area= $\pi (2)(8.8)$

So,

Area= $17.6\pi$

Putting value of $\pi$ ,

Hence, surface area of cone is 55.264 $nche{s}^2$ .