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Vedmedyk [2.9K]
3 years ago
8

Find the total surface area of this cone.

Mathematics
2 answers:
Sonbull [250]3 years ago
7 0

Answer:

SA = 200π cm²

Step-by-step explanation:

The slant height l is the hypotenuse of the right triangle inside the cone

The triangle is an 8- 15- 17 ( Pythagorean triple ) with l = 17

Then

SA = πrl + πr²

     =(π × 8 × 17) + (π × 8²)

     = 136π + 64π

     = 200π cm²

wel3 years ago
5 0

Answer:

in the right angle triangle,

p=15cm

b=8cm

h =  \sqrt{15 {}^{2}  + 8 {}^{2}  }  \\  =  \sqrt{125 + 64}  \\  =  \sqrt{289}  \\  = 17cm \\ sa = \pi \: rl + b \\  = \pi \: 8 \times 17 + \pi \: r {}^{2}  \\  = 136\pi + 64\pi \\  = 200\pi

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