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kykrilka [37]
3 years ago
5

how to find the volume of each sphere, both in terms of \pi and the nearest tenths for r=3 use 3.14 for \p.

Mathematics
1 answer:
icang [17]3 years ago
6 0
Volume formula of a sphere:
\frac{4}{3}\pir³

given:
r = 3 

V = \frac{4}{3}\pi(3)³
V = \frac{4}{3} × 27\pi
V = 36\pi units³ (in terms of \pi)
V = 113.097 units³ ≈ 113.1 units³
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Step-by-step explanation:

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You have a 1200-foot roll of fencing and a large field. you want to make two paddocks by splitting a rectangular enclosure in ha
romanna [79]
Let width = w
Let length = l
Let area = A
3w+2l=1200
2l=1200-3w
l=1200-3/2
A=w*l
A=w*(1200-3w)/2
A=600w-(3/2)*w^2
If I set A=0 to find the roots, the maximum will be at wmax=-b/2a which is exactly 1/2 way between the roots-(3/2)*w^2+600w=0
-b=-600
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w=200
And, since 3w+2l=1200
3*200+2l=1200
2l = 600
l = 300
The dimensions of the largest enclosure willbe when width = 200 ft and length = 300 ft
check answer:
3w+2l=1200
3*200+2*300=1200
600+600=1200
1200=1200
and A=w*l
A=200*300
A=60000 ft2
To see if this is max area change  w and l slightly but still make 3w+2l=1200 true, like
w=200.1
l=299.85
A=299.85*200.1
A=59999.985
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Norma-Jean [14]

Answer:

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Step-by-step explanation:

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