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Please help me, I need it to pass..
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The formula for the new, smaller cone in terms of surface area is this:\[SA=\pi (\frac{ 8 }{ 5 })^{2}+\pi (\frac{ 8 }{ 5 })(\frac{ 13 }{ 6 })\]
Looks crazy, but that is just saying that the radius of the smaller is 1/5 of the original which is 8, so the radius of the smaller is 1/5 * 8 which is 8/5. Same goes for the slant height. Let's just solve this now.
Doing the math you get:\[SA=\frac{ 64 }{ 25 }\pi + \frac{ 104 }{ 30 }\pi \]
Common denominator needs to be found in order to add these
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2 and 5?
What you get in the end after all the adding is 452 pi/75. When you divide 452 by 75 and multiply it by 3.14, you get 18.93 That's your answer.
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