Question

PLEASE ANSWER ONLY IF U ARE RIGHT ILL GIVE BRAINLIEST A THANKS AND 5 STARS TO U!

Answer 1

The answer is:  "527.52 [square yards]"
.
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Explanation:
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Surface Area (S.A. of a cone) = π *r * (r + √(h² + r²) ;

in which:  π = 3.14 (as instructed in the given problem; 
                r = radius = diameter / 2 = 14 yd / 2 = 7 yd.
(Note: diameter = 14 yd ; given in the figure shown) ;                                 h = perpendicular height = ??

Let us use the Pythagorean theorem to determine "h"                                                               (the perpendicular  
height);
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 a² + b² = c² ; in which "c" in the hypotenuse; 
 c = 17 yd. (the "slant length" of the cone; given in the figure); 

Let: "b" = the radius, "r" = 7 yd; 

Solve for "a"; which is the "perpendicular height" ; or "h" ;

→ a² + b² = c² ;

→ a² = c² − b² ;

→ Plug in our known values for "c" and "b" ; to solve for "a" ;

→ a² = 17² − 7²  = 289 − 49 = 240 ;

→ a² = 240 ; 

Take the positive "square root" of each side of equation; to isolate "a" on one side of the equation" and to solve for "a" ; 

→√(a²) = √240 ;

→ a = 15.4919333848296675 ; = "h" ; perpendicular height; 

For now, we can simply refer to: "h" as equal to: "(√240)" ;
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 Now, given the formula for the surface area of a cone:
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  → " Surface Area (S.A. of a cone) = π *r * (r + √(h² + r²) " ; 

Plug in our known values; and solve:

→Surface Area (S.A. of a cone) = 
      3.14 * (7 yd) * { 7 yd + √[(√240)² + (7 yd)²] } ;

            = 3.14 * (7 yd) * { 7 yd + √[(240 + (49 yd²] } ;

            = 3.14 * (7 yd) * { 7 yd + √289 yd²} ;

            = 3.14 * (7 yd) * ( 7 yd + 17 yd) ;

            = 3.14 * (7 yd) * (24 yd) 

            = 527.52 yd²  ; or write as: "527.52 square yards".

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