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ikadub [295]
3 years ago
15

Someone please help! I’ll give brainliest!!

Mathematics
2 answers:
kakasveta [241]3 years ago
4 0

Answer:

The correct answer is 108\pi (yd^3).

Step-by-step explanation:

The formula to find a volume of a cone is \pi r^2*\frac{h}{3}, where r represents the radius and h represents the height of the cone. By substituting the values in, you'll get that the volume of the cone is equivalent to \pi*6^2*\frac{9}{3} = 36\pi * 3 = 108\pi (yd^3), so that is the answer.

Marina86 [1]3 years ago
4 0

Answer:

108 cu. yd.

Step-by-step explanation:

V = \frac{\pi r^{2} h}{3} = \frac{ \pi 6^{2} *9}{3} = \frac{36(9)\pi }{3} =\frac{ 324\pi }{3} =  108 cu. yd.

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The answer is:  3.91 inches .
___________________________________________

Note:  Volume of cylinder: V = (base area) * (height);

in which: V = volume = 384 in.³ ;
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Solve for "r" :
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 V = π r² * (8 in.) ; 

384 in.³ = (8 in.) * (π r²) ;
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Divide EACH SIDE of the equation by "8" ; 
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 to get: 
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   48 in.³ = (π r²) in.² * in.   ;
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 ↔  (π r²) in.² * in. =  48 in.³  ;  
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Rewrite this equation; using "3.14" as an approximation for: π ;
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 (3.14 * r²) in.² * in. =  48 in.³ 
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Divide EACH SIDE of the equation by:

"[(3.14)*(in.²)*(in.)]" ;  to isolate "r² " on one side of the equation; 
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_____________________________________________________
→ [(3.14 * r²) in.² * in.] / [(3.14)*(in.²)*(in.)]  = 48 in.³ / [(3.14)*(in.²)*(in.)] ; 
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     → +√(r²) = +√(15.2866242038216561)
__________________________________________________
     →  r = 3.9098112747064475286  ; round to 3.91 inches .
___________________________________________________
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