Answer:
a) Cone
b) TSA = 98.125 sq. inches, LSA = 78.5 sq. inches
Explanation:
a) The seashell given us is best modelled by a cone (it has a radius & a slant height)
b) The approximate surface area is given as shown below:
[tex]\begin{gathered} T.S.A=\pi r(l+r) \\ Diameter,D=5in \\ Radius,r=\frac{Diameter}{2}=\frac{5}{2}=2.5in \\ l=10in \\ \pi=3.14 \\ \\ T.S.A=3.14\times2.5(10+2.5) \\ T.S.A=98.125in^2 \\ \\ OR \\ L.S.A=\pi rl \\ L.S.A=3.14\times2.5\times10 \\ L.S.A=78.5in^2 \end{gathered}[/tex]
The Total Surface Area of the cone is 98.125 sq. inches
The Lateral Surface Area of the cone is 78.5 sq. inches
