Using cylindrical coordinates, find the mass of an ice cream cone if the waffle cone has equation z = 1/squareroot(x^2 + y^2)^1/2 and the ice cream has equation x^2 + y^2 + (z - 1)^2 = 3 and the density of the entire treat is rho(x, y, z) = 5 - xyz. set up the triple integral of a function g(x, y, z) over the region r hounded below by the cone z = (x^2 + y^2)^1/2 and above by the sphere x^2 + y^2 + z^2 = 4, in cartesian, cylindrical and spherical coordinates.

write the triple integral tripleintegral_w 1/squareroot x^2 + y^2 + z^2 dv in cartesian and spherical coordinates, where w is the bottom half of the sphere of radius 5 centered at (1, 2, 0).
evaluate the integral using spherical coordinates.

125 yards

step-by-step explanation:

i take 75 plus 50.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

0.0076, if you meant 4.125 divided by 0.03125 it would be 132

step-by-step explanation:

first you have to move the decimal in 0.03125 over until its behind the 5 which is 5 places over. now the number is 3125

then you have to move the decimal in 4.125, 5 places over. now the number is 4,112,500.

now you divide like you would normally would and get 0.0076

step-by-step explanation:

the answer is 89 d

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