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Help me with surface area plssss
asked
Sep 16, 2019
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Help me with surface area plssss
Mathematics
middle-school
BenNov
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Answer:
The surface area of the given cylinder is:
"
747. 32
in²
" .
______________________________________________________
Step-by-step explanation:
______________________________________________________
The formula for the "Surface Area, "S. A." , of a cylinder :
"
S.A.
=
2
r² + 2
* r * h
" ;
in which:
= 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.
__________________________________________________
Let us plug in our "known" — and/or "given" — values ; into the formula & solve for the "S.A." (surface area of this "cylinder") :
__________________________________________________
→ S.A. = 2
r² + 2 *
* 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
;
______________________________________________________________
→ 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
" .
______________________________________________________
→ This answer is already rounded to the nearest hundredth.
______________________________________________________
Answer:
The surface area of the given cylinder is:
"
747. 32 in²
" .
______________________________________________________
Tanerkay
answered
Sep 21, 2019
by
Tanerkay
8.3k
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