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3 years ago

What is the volume of a right circular cylinder with a base diameter of 17.5 ft and a height of 24.5 ft?

Mathematics

2 answers:

lina2011 [118]3 years ago

6 0

Answer:

5889.95

Step-by-step explanation:

hodyreva [135]3 years ago

5 0

Answer:

5889.95

Step-by-step explanation:

volume of a cylinder is the area of the base times the height. To find the area of the base it is $a=\pi r^{2}$ Since they give diameter you need to find radius by dividing. 17.5 divided by 2 is 8.75. the area is $76.5625\pi$ then times height it is $1875.78125\pi$ then, like they said, use 3.14 as pi. Round to get 5889.95 :)

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Answer:

Step-by-step explanation:

set

$f(x,y)=x+y\\$

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$g(x,y)=x^2+y^2 = 7\\h(x,y)=x^3+y^3=10$

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$f_{x}=1\\f_{y} =1 \\g_{x}=2x \\g_{y}=2y\\h_{x}=3x^2 \\h_{y}=3y^2$

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$\left[\begin{array}{ccc}1\\1\end{array}\right]=a\left[\begin{array}{ccc}2x\\2y\end{array}\right]+b\left[\begin{array}{ccc}3x^2\\3y^2\end{array}\right]$

4 equations:

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By solving:

$a=4/9\\b=-2/27\\x+y=4$

Second mathod:

Solve for x^2+y^2 = 7, x^3+y^3=10 first:

$x=\frac{1}{2} -\frac{\sqrt{13}}{2} \ or \ y=\frac{1}{2} +\frac{\sqrt{13}}{2} \\x=\frac{1}{2} +\frac{\sqrt{13}}{2} \ or \ y=\frac{1}{2} -\frac{\sqrt{13}}{2} \\x+y=-5\ or\ 1 \or\ 4$

The maximum is 4

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3 years ago

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Natalka [10]

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