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makayla25 makayla25
  • 08-04-2016
  • Mathematics
Answered

find the surfacs area of a cone wirh a slant height of 18in and a radius of 7in

Verified Answer :

penfila11Pen
penfila11Pen penfila11Pen
  • 09-04-2016

Formula of the surface area of a cone is:
S.A = Area of base + \(\frac{1}{2}\) × Perimeter of base × height of prism

S.A = \(\pi\)r² + \(\pi\)rl
       = \(\pi\)(7)² + \(\pi\)(7)(18)
       = 49\(\pi\) + 126\(\pi\)
       = 175\(\pi\) in² (in terms of \(\pi\))
       = 549.7787 in²
       ≈ 550 in²

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