Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**clumsy shark****Member**- Registered: 2012-01-07
- Posts: 13

Given the solid S: z=x^2 + 4y^2 , z <= 16

Find the volume and surface area of the solid S

Offline

**scientia****Member**- Registered: 2009-11-13
- Posts: 224

Write the equation as

This is an ellipse with semimajor axis

and semiminor axis . Its area is . Integrate this from to to get the volume of the solid.The surface area is a bit more complicated

*Last edited by scientia (2013-02-28 06:42:09)*

Offline

**clumsy shark****Member**- Registered: 2012-01-07
- Posts: 13

Many ThnX ^_^

Offline

Pages: **1**