lateral surface area of cylinder
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Use cylindrical coordinates and multivariable calculus to prove that the lateral surface area of a right, circular cylinder with radius 2 and height h is 4pih.
I parameterized x = rcostheta, y = rsintheta, and z = z, but I don't know how to find/set up the integral.
integration multivariable-calculus surface-integrals cylindrical-coordinates
asked Jan 18 at 2:58
interestedinmathinterestedinmath
12
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add a comment |
$begingroup$
Use cylindrical coordinates and multivariable calculus to prove that the lateral surface area of a right, circular cylinder with radius 2 and height h is 4pih.
I parameterized x = rcostheta, y = rsintheta, and z = z, but I don't know how to find/set up the integral.
integration multivariable-calculus surface-integrals cylindrical-coordinates
asked Jan 18 at 2:58
interestedinmathinterestedinmath
12
$endgroup$
1
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What does $dA$ look like?
$endgroup$
– John Douma
Jan 18 at 3:30
add a comment |
$begingroup$
Use cylindrical coordinates and multivariable calculus to prove that the lateral surface area of a right, circular cylinder with radius 2 and height h is 4pih.
I parameterized x = rcostheta, y = rsintheta, and z = z, but I don't know how to find/set up the integral.
integration multivariable-calculus surface-integrals cylindrical-coordinates
asked Jan 18 at 2:58
interestedinmathinterestedinmath
12
$endgroup$
Use cylindrical coordinates and multivariable calculus to prove that the lateral surface area of a right, circular cylinder with radius 2 and height h is 4pih.
I parameterized x = rcostheta, y = rsintheta, and z = z, but I don't know how to find/set up the integral.
integration multivariable-calculus surface-integrals cylindrical-coordinates
integration multivariable-calculus surface-integrals cylindrical-coordinates
asked Jan 18 at 2:58
interestedinmathinterestedinmath
12
asked Jan 18 at 2:58
interestedinmathinterestedinmath
12
asked Jan 18 at 2:58
interestedinmathinterestedinmath
12
asked Jan 18 at 2:58
interestedinmathinterestedinmath
12
asked Jan 18 at 2:58
interestedinmathinterestedinmath
12
12
1
$begingroup$
What does $dA$ look like?
$endgroup$
– John Douma
Jan 18 at 3:30
add a comment |
1
$begingroup$
What does $dA$ look like?
$endgroup$
– John Douma
Jan 18 at 3:30
1
1
$begingroup$
What does $dA$ look like?
$endgroup$
– John Douma
Jan 18 at 3:30
$begingroup$
What does $dA$ look like?
$endgroup$
– John Douma
Jan 18 at 3:30
add a comment |
0
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$begingroup$
What does $dA$ look like?
$endgroup$
– John Douma
Jan 18 at 3:30