Mathematics, 13.01.2020 02:31, christiancase06
Find the slant height of the cone with the given measurements, rounded to the nearest hundredth. then use your result to find the surface area of the cone. use 3.14 for π. round the final answer to the nearest hundredth.
height: 10 yards
diameter: 16 yards
question 20 options:
522.75 yards2
321.79 yards2
102.48 yards2
1751.87 yards2
Answers: 2
![\bf \textit{slant height of a cone}\\\\ SH = \sqrt{h^2+r^2}\qquad \implies SH=\sqrt{10^2+8^2}\implies SH=\sqrt{100+64} \\\\\\ SH = \sqrt{164}\implies SH\approx 12.80625\implies \stackrel{\textit{rounded up}}{SH = 12.81} \\\\[-0.35em] ~\dotfill\\\\ \textit{surface area of a cone}\\\\ SA = \pi r\sqrt{h^2+r^2}+\pi r^2\implies SA=\pi r\cdot SH+\pi r^2 \\\\\\ \stackrel{\textit{using }\pi =3.14}{SA = (3.14)(8)(12.81)+(3.14)(8)^2}\implies SA = 522.7472\implies \stackrel{\textit{rounded up}}{SA = 522.75}](/tpl/images/0452/3410/067b5.png)
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Find the slant height of the cone with the given measurements, rounded to the nearest hundredth. the...
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