kenialove
  • kenialove
A cone has a height of 24 inches , a slant height of 25 inches , and a diameter of 14 inches. What is the surface area of the cone ? A. 1,176 pi^2 B. 392 pi^2 C. 224 pi^2 D. 178 pi^2 I know how to plug in the numbers and everything but I forgot the formula to find my answer .. Can someone help me ?
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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jim_thompson5910
  • jim_thompson5910
The surface area of a cone is \[\Large SA = \pi*r^2 + \pi*r*s\] SA = surface area r = radius s = slant height
jim_thompson5910
  • jim_thompson5910
In this problem, r = 7 since the diameter is 14 and you cut the diameter in half to get the radius. Also, s = 25 is the slant height.
kenialove
  • kenialove
Thanks so much

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More answers

kenialove
  • kenialove
So it would be .. A = 3.14 x 7^2 + 3.14 x 7 x 25
kenialove
  • kenialove
I got the answer 703.36 but that's not one of the choices in the question .. Can u help me ? @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
leave pi as it is
jim_thompson5910
  • jim_thompson5910
think of pi as a variable if you have to
kenialove
  • kenialove
Okay I'll try that
jim_thompson5910
  • jim_thompson5910
tell me what you get
kenialove
  • kenialove
I think I need help cause I'm getting a bigger number
jim_thompson5910
  • jim_thompson5910
what is 7^2 equal to?
kenialove
  • kenialove
49
jim_thompson5910
  • jim_thompson5910
how about 7*25, what is that equal to?
kenialove
  • kenialove
175
jim_thompson5910
  • jim_thompson5910
So... \[\Large SA = \pi*r^2 + \pi*r*s\] \[\Large SA = \pi*7^2 + \pi*7*25\] \[\Large SA = \pi*49 + \pi*175\] \[\Large SA = 49\pi + 175\pi\] \[\Large SA = 224\pi\]
jim_thompson5910
  • jim_thompson5910
notice how I added 49pi to 175pi to get 224pi similar to me saying 49x+175x = 224x
kenialove
  • kenialove
Ohhh I know where I missed up Thanks so much
jim_thompson5910
  • jim_thompson5910
glad to be of help

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