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natta225 [31]
3 years ago
10

A partial cylinder lies on its side. The bases are a 90° sector of a circle. What is the exact volume of the partial cylinder?

Mathematics
2 answers:
LenKa [72]3 years ago
8 0

Answer:

180%


Step-by-step explanation:


777dan777 [17]3 years ago
8 0

Answer:

160piein^3

Step-by-step explanation:

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You can look at the screenshot

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If 1200 cm^2 of material is available to make a box with a square base and an open top find the largest possible volume of the b
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Surface area of box=1200 cm² 
<span>Volume of box=s²h </span>
<span>s = side of square base </span>
<span>h = height of box </span>
<span>S.A. = s² + 4sh </span>
<span>S.A. = surface area or 1200 cm², s²
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<span>v(s) = s²((1200 - s²)/(4s)) </span>
<span>v(s) = s(1200 - s²)/4 . </span>
<span>v(s) = 300s - (1/4)s^3</span>

by derivating
<span>v'(s) = 300 - (3/4)s² </span>
<span>0 = 300 - (3/4)s² </span>
<span>-300 = (-3/4)s² </span>
<span>400 = s² </span>
<span>s = -20 and 20. </span>
again derivating
<span>v"(s) = -(3/2)s </span>
<span>v"(-20) = -(3/2)(-20) </span>
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<span>v"(20) = -30 </span>


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<span>v(s) = 300(20) - (1/4)(20)^3 </span>
<span>v(s) = 6000 - (1/4)(8000) </span>
<span>v = 6000 - 2000 
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