Answered

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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

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 class=

Sagot :

ANSWER

15 square inches

EXPLANATION

From the given question,

[tex]\text{height h =}3\frac{5}{8}=3.625[/tex]

and the diameter d is

[tex]\begin{gathered} d=2\frac{1}{2}=2.5 \\ r=1.25\text{ } \end{gathered}[/tex]

The formula for finding the lateral surface area is :

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

solving for

[tex]\begin{gathered} A_l \\ A_l=\pi r\sqrt[]{r^2+h^2} \\ =\pi\times1.25\sqrt[]{3.63^2+1.25^2} \\ =15.05791 \\ =15 \end{gathered}[/tex]

The answer is 15 to the nearest square inches

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