Mathematics, 12.09.2019 21:30 nyjaelynn
Ahemispherical bowl of radius 12 inches is filled to a depth of h inches, where 0less than or equalshless than or equals12. find the volume of water in the bowl as a function of h. (check the special cases hequals0 and hequals12.)
Answers: 2
, where y≤ 0,
![=\pi [ (144(-12+h)-\frac{(-12+h)^3}{3}-144(-12)+\frac{(-12)^3}{3}}]](/tpl/images/0229/1718/6809b.png)
![=\pi [ -1728 + 144h - \frac{1}{3}(-1728+h^3+432h-36h^2)+1728-\frac{1728}{3}]](/tpl/images/0229/1718/84bbf.png)
![=\pi [ 144h - \frac{1}{3}(h^3+432h-36h^2}{3}]](/tpl/images/0229/1718/37293.png)
![=\pi [ 144h - \frac{h^3}{3} - 144h + 12h^2]](/tpl/images/0229/1718/6d227.png)
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Ahemispherical bowl of radius 12 inches is filled to a depth of h inches, where 0less than or equals...
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