Answer: The surface area of the given cylinder is: " 747. 32 in² " .
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Explanation:
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The formula for the "Surface Area, "S. A." , of a cylinder :
" S.A. = 2 [tex] \pi [/tex] r² + 2[tex] * \pi [/tex] * r * h " ;
in which: [tex] \pi [/tex] = 3.14 (we shall use this approximation) ;
S.A. = surface area (in "square units" ;
in our case, "square inches" ;
or; " in² " ) ;
r = radius = 7 in.
h = height = 10 in.
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Let us plug in our "known" — and/or "given" — values ; into the formula & solve for the "S.A." (surface area of this "cylinder") :
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→ S.A. = 2 [tex] \pi [/tex] r² + 2 * [tex] \pi [/tex] * r * h ;
→ S.A. = 2 (3.14) * (7 in.)² + 2 * (3.14) * (7 in) * (10 in) ;
→ S.A. = [ 2 * (3.14) * (7²) * (in²) ] + ( 2 * 3.14 * 70 * in²) ;
= ( 2 * 3.14 * 49 * in² ) + (439 .6 * in²) ;
= (307. 72 in²) + (439 .6 in²) ;
= 747. 32 in² ;
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→ Note: This answer is already rounded to the nearest hundredth. Apparently, the "image attached" mentioned to round the answer "to the nearest hundredth"; however, this part of the "image attached" appears to have been "cut off" .
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→ This answer is already rounded to the nearest hundredth.
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Answer: The surface area of the given cylinder is: " 747. 32 in² " .
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