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Sagot :
Answer:
10 inches
Step-by-step explanation:
Surface Area = π R² + π R L [ L is Slant Height ]
200 π = π (10)² + π (10) L
200 π = π (100) + π (10) L
200 π - 100 π = 10 π L
100 π = 10 π L
100 π / 10 π = L
10 = L
L = 10 inches
Hope this Helps......
[tex]\huge{ \mathrm{ \underline{ Answer} \: \: ✓ }}[/tex]
Given terms :
- Surface area (a) = 200 π
- radius = 10 inches
Now, we know
[tex] \large\boxed{\mathrm{surface \: \: area = \: \pi r(l + r) }}[/tex]
- [tex]200\pi = \pi \times 10 \times (10 + l)[/tex]
- [tex] \dfrac{200\pi}{10\pi} = 10 + l[/tex]
- [tex]20 = 10 + l[/tex]
- [tex]l = 10 \: in[/tex]
(note : " l " represents slant height.)
Therefore, Measure of slant height (l) :
[tex] \huge \boxed{10 \: \: in \: }[/tex]
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[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
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