Chapter 12.7, Problem 28STP

To determine

To find:the area of the ice cream cone

Answer to Problem 28STP

The area of the ice cream cone is $9.42{\text{ in}}^{\text{2}}$ .

Explanation of Solution

Given:

  

Formula Used:

The lateral area L of a cone is $L=\pi rl$ .

Calculation:

Consider the figure as shown below:

  

Consider the cone covered by wrapper has diameter 1.5in. And the slant height is 4 in..

The lateral area L of a cone is $L=\pi rl$ .

Here, r is the radius of the circle and l is the slant height the cone.

The area of the ice cream cone covered by the wrapper is the lateral surface area.

Since radius is half the diameter is,

  $\begin{array}{l}r=\frac{1.5}{2}in.\\ =0.75in.\end{array}$

Substitute $r=0.75\text{ and }l=4\text{ in }L=\pi rl$

  $\begin{array}{l}L=\pi rl\\ =\pi (0.75)4\\ =3\pi \\ \approx 3(3.14)As\pi =3.14\\ =9.42\end{array}$

Conclusion:Hence, the area of the ice cream cone is $9.42{\text{ in}}^{\text{2}}$ .