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kristieL50
31.07.2019 •
Mathematics
What is the slant height if the surface area is 395.64 square meters? (use 3.14 for π .) r = 7 of a cone a. 7 b. 9 c. 11 d. 13
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Ответ:
A=πr²+πrl (1)
A is the area (A=395.64 m²).
π=3.14
r is the radius (r=7).
l is the height.
2. The formula for calculate the slant height of the cone, is given by the Pythagorean theorem:
h²=l²+r²
h=√(l²+r²) (2)
h is the slant height.
3. We don't know the value of "l", so:
- We must rewrite the formula (1) and clear "l":
A=πr²+πrl
A-πr²=πrl
l=A-πr²/πr
- Now, we must susbtitute l=A-πr²/πr, into the formula (2). Then, we have:
h=√(l²+r²)
h=√[(A-πr²/πr)²+r²]
A=395.64 m²
π=3.14
r=7
4. When we substitute the values above into the formula h=√[(A-πr²/πr)²+r²], we obtain the slant height:
h=√[(A-πr²/πr)²+r²]
h=√170
h=13
What is the slant height?
The answer is: D.13
Ответ: