(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Computer the volume of the solid bounded by the xz plane, the yz plane, the xy plane, the planes x = 1 and y = 1, and the surface z = x^{2}+ y^{2}

2. Relevant equations

None.

3. The attempt at a solution

Since the solid is bounded by the xz plane, the yz plane, the xy plane, it is assumed that the values of x, y, and z all equal 0. And since x = 1 and y = 1, the limits of integration is:

0 [tex]\leq[/tex] x [tex]\leq[/tex] 1

0 [tex]\leq[/tex] y [tex]\leq[/tex] 1

Thus, the double integral is:

[tex]\int[/tex] [tex]\int[/tex] x^{2}+ y^{4}dA

and the limits of integration is 0 [tex]\leq[/tex] x [tex]\leq[/tex] 1, 0 [tex]\leq[/tex] y [tex]\leq[/tex] 1.

After calculating the integral, I got the answer [tex]\frac{8}{15}[/tex]. Can anyone verify my work?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Compute the volume of the solid

**Physics Forums | Science Articles, Homework Help, Discussion**