The answer is (Pi/2) * [(a^5)/5] Best solution gets 10 points?
407831
Convert to spherical coordinates. The region is the volume inside the sphere x^2+y^2+z^2=2a^2 and above the cone z^2=x^2+y^2 in the first octant.  So rho goes from 0 to sqrt(2)a, phi (angle from z axis) goes from 0 to pi/4 and theta goes from 0 to pi/2. The integrand is 1/rho^2 and the Jacobian is rho^2 sin(phi).\n\nHmmm...it looks like you copied the question wrong. The answer  is not correct. The answer given is the triple integral of (x^2+y^2+z^2) over the inside of the sphere \nx^2+y^2+z^2=a^2 in the first octant.
81890
it's not factored completely if you leave it as a^2-25 so the proper answer is 5(a-5)(a+5)
1151198
when you multiply 247474747474.5 with Pi, you will get 777777777777.... :)
1004970
You can find all the digits of pi by using this formula; \n\npi/2 = 2/1 x 2/3 x 4/3 x 4/5 x 6/5 x 6/7 x 8/7 x 8/9 ... and so on.\n\nOf course, the formula is infinitely long, as is pi, so it will take you a long, long, time.
791163
2r*2r*(p/4)\n=4r^2(p/4)\n=pr^2
829290
2 X pi X  r = cirumference\n\npi X r squared = area
1049416
Crazydeadmoth got the hard half of the answer, but missed the easy half.  \n\nThe obvious solution is when x = PI/2 or 90 degrees.\n\nThe complete solution between 0 and 2pi is .284 radians and pi/2 (1.571 radians).
827919
a = 0.5bc^2\n\n2a = bc^2\n\n2a/c^2 = b
908965
the answer is pi 3.14. use the pythagoran therom with x= pi(r2) then compensate for the remainder and it'll work itself out. If that doesn't work, try FOIL. first, outside, inside, last.
183956
Half the diameter, or circumference divided by 2.pi
1032048
The answer is 26.17\n\nR^2 (x/2)= Area \n\n Where R is the radius and x is the angle in radians\n\n2(pi/3)= 2.09  \n\n 5^2(2.09/2)=26.17
731527
r=3, h=5, pi=3.14159.\n\nJust plug these into the formula and you're set.
814548
no the correct answer will be\n(1/2)y^-5v^-12
924497
if     Pr(X) = 1/2*sin X = 0.25 \nthen           sin X = 0.5 \n\nIn the interval 0 < X < Pi :  \nSin X = 0.5 means X = 1/3.Pi \nThat's equal to 1.047197551\n\nClosest answer is  d)
908426
Plug in each of the four answers.  The only one that works is (2), because you get\n\n | 3 (-2/3) - 3 | = 5\n | -2 - 3 | = 5\n | -5 | = 5\n 5 = 5
880047
I can find this on a TI-84+, is that how you want to get it or do you need an algebraic solution?
1147102
pi*(r^2)\n\nIt doesn't matter which unit you use, just make sure you're consistent.