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anonymous
 5 years ago
if you are given the terms y = sqrt(x), y = 0, and
x = 6, how do you find the volume of the solid generated by revolving it about the yaxis?
anonymous
 5 years ago
if you are given the terms y = sqrt(x), y = 0, and x = 6, how do you find the volume of the solid generated by revolving it about the yaxis?

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amistre64
 5 years ago
Best ResponseYou've already chosen the best response.02pi {S} x[sqrt(x)] dx ; [0,6]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yeah, that's how i did it

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0but the answer is a decimal: 35.27...

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0x[sqrt(x)] can be re written as: sqrt(x^3) = x^(3/2) and integrate

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0it gonna be a decimal regardless; pi is irrational/transcendental

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I am using a math homework software that won't take decimals for this answer. Should I just do it by hand?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0like have the fractional, unevaluated part as and answer?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0if it dont take decimals, then use the exact version of it...

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.02x^(5/2)  * 2pi at x = 6 5

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0that's the answer, but I need to evaluate at 6. and the computer won't take my decimal answer

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.04.pi. sqrt(6.6.6.6.6) = 4.pi.36 sqrt(6)   5 5

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0144pi sqrt(6)  should be an exact answer then 5

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you can evalutate it that way???

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0yeah; thats what it equate to right?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes, and it takes that answer! Thanks everyone!

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0:) just glad I was right lol :)

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1Let me just use the washer method for comparison \(\int_0^{\sqrt{6}}\pi(36y^4)\,dy=\pi(36y\frac{y^5}{5})\mid_0^\sqrt{6}=\pi(36\sqrt{6}\frac{36\sqrt{6}}{5})=\frac{144\pi\sqrt{6}}{5} \)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0okay, so I can see how you can do that a little more mathematically
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