THIS IS URGENT PLEASE HELP IF YOU CAN!!!

Mathematics

1 answer:

shtirl [24]3 years ago

3 0

Answer:

The formula for finding the Volume of a right circular cylinder is: V = πr2h.

Step-by-step explanation:

The formula for finding the Volume of a right circular cylinder is: V = πr2h, where r is the radius of the circle at one base of the cylinder, and h is the height of the cylinder (the distance between the bases.)

I really hope this helps!!! :)

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Convert the integral below to polar coordinates and evaluate the integral.

White raven [17]

I suppose the integral is

$\displaystyle\int_0^5\int_y^{\sqrt{25-y^2}} xy\,\mathrm dx\,\mathrm dy$

The integration region corresponds to a sector of a cirlce with radius 5 subtended by a central angle of π/4 rad. We can capture this region in polar coordinates by the set

$R=\left\{(r,\theta)\mid0\le r\le5,0\le\theta\le\dfrac\pi4\right\}$