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Travka [436]
3 years ago
12

Find the total surface area of this cone. Round to the nearest tenth.

Mathematics
1 answer:
leva [86]3 years ago
8 0

Step-by-step explanation:

for given cone:

h = 3 ft, r = 3 ft

Let l be the Slant height of cone.

\therefore \: l =  \sqrt{ {h}^{2}  +  {r}^{2} }  \\  =  \sqrt{ {3}^{2} +  {3}^{2}  }  \\  =  \sqrt{9 + 9}  \\  =  \sqrt{2 \times 9}  \\   \therefore \: l= 3 \sqrt{2}  \: ft \\  \\ total \: surface \: area \: of \: cone \\  = \pi \: r(l + r) \\  = 3.14 \times 3(3 \sqrt{2}  + 3) \\  = 9.42 \times 3( \sqrt{2}  + 1) \\  = 28.26 \times (1.414 + 1) \\  = 28.26 \times 2.414 \\  = 68.21964 \\  \approx \: 68.2 \:  {ft}^{2}

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