Question

A paper cup in the shape of a cone is used to get water from a water cooler. It has a helght of 3 Inches and a diameter of 22 Inches. What is the lateral surface area of the paper cup to the nearest square Inch? A 15 square Inches B. 14 square Inches Oc. 19 square Inches OD 18 square Inches

Answer 1

15 square inches

Step-by-step explanation

From the given question,

`\text{height h =}3(5)/(8)=3.625`

and the diameter d is

`\begin{gathered} d=2(1)/(2)=2.5 \\ r=1.25\text{ } \end{gathered}`

The formula for finding the lateral surface area is :

`\begin{gathered} A_l=\pi rl \\ l=\sqrt[]{r^2+h^2} \\ \end{gathered}`

solving for

`\begin{gathered} A_l \\ A_l=\pi r\sqrt[]{r^2+h^2} \\ =\pi*1.25\sqrt[]{3.63^2+1.25^2} \\ =15.05791 \\ =15 \end{gathered}`

The answer is 15 to the nearest square inches