# Find the volume of the solid in the first octant bounded by the cylinder z=4-x^2 and the plane...

## Question:

Find the volume of the solid in the first octant bounded by the cylinder {eq}z=4-x^2 {/eq} and the plane {eq}y=5 {/eq}

## Volume:

When working with multiple integrals, double integrals are generally used to determine the surface area and triple integrals are used to determine the volume of the given solid. Also, in the first octant, {eq}x \geq 0\ \text{and}\ y \geq 0 {/eq}

## Answer and Explanation: 1

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View this answerThe given parabolic cylinder in the first octant parallels the *y*-axis.

Since we're in the first octant, all of our coordinates are bounded below by...

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Chapter 12 / Lesson 2Understand that an integral measures the area under a curve, and learn how to evaluate linear and polynomial integrals. Explore different applications of integrals with examples.

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