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:
