Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Select the correct answer from each drop-down menu.A seashell has the dimensions shown.5 in10 in.What figure best models the shell, and what is the approximate surface area of the shell?The shell is best modeled by aThe approximate surface area of the shell issquare inches.

Select The Correct Answer From Each Dropdown MenuA Seashell Has The Dimensions Shown5 In10 InWhat Figure Best Models The Shell And What Is The Approximate Surfa class=

Sagot :

Given: A seashell has the iameter 5 in and height 10 in

Find: (a) the shell best modeled by______

(b) the approximate surface arae of the shell_____

Explanation: (a) the shell best modeled by cone.

(b) the approximation surafce area of the shell will be equal to

[tex]\pi r^2+\pi rl[/tex]

where r is radius=2.5 in of the shell and l is slant height equal to

[tex]\begin{gathered} l=\sqrt{(2.5)^2+(10)^2}^ \\ =\sqrt{6.25+100} \\ =\sqrt{106.25} \\ =10.30\text{ in} \end{gathered}[/tex]

now put the value in the formula we get,

[tex]\begin{gathered} \pi r^2+\pi rl \\ =3.14((2.5)^2+2.5\times10.30) \\ =3.14(6.25+25.75) \\ =3.14(32) \\ =100.48\text{ in}^2 \end{gathered}[/tex]

Final answer: