Explanation Given: The solid whose base is a unit circle x 2 + y 2 = 1 and cross sections perpendicular to x -axis are triangles whose height and base are equal. Calculation: At any point x , the side of the triangular cross section that lies in the unit circle base of the solid extends from the top half of the unit circle (with y = 1 − x 2 ) to the bottom half (with y = − 1 − x 2 ). Therefore, the base b and height h of the triangle is; ⇒ ( 1 − x 2 ) − ( − 1 − x 2 ) = 2 1 − x 2 So, the area (let us consider, A(x)) of triangle is given by; ⇒ A ( x ) = 1 2 ( b h ) = [ 1 2 ( 2 1 − x 2 ) 2 ] ∴ A ( x ) = 2 ( ...

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ISBN: 9781319323394

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 6.2, Problem 9E

To determine

$V$

Find the volumeof solid whose base is a unit circle $x^{2} + y^{2} = 1$ and the cross sections perpendicular to $x$ -axis are triangles whose height and base are equal.

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Chapter 6.2, Problem 8E

Chapter 6.2, Problem 10E

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Chapter 6 Solutions

CALCULUS W/SAPLING ACCESS >IC<

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V Find the volumeof solid whose base is a unit circle x 2 + y 2 = 1 and the cross sections perpendicular to x -axis are triangles whose height and base are equal.

Solution Summary: The author explains how the volume V of a solid is 8 3 and the cross sections perpendicular to x -axis are triangles.

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$V$

Find the volumeof solid whose base is a unit circle $x^{2} + y^{2} = 1$ and the cross sections perpendicular to $x$ -axis are triangles whose height and base are equal.

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Chapter 6 Solutions

V Find the volumeof solid whose base is a unit circle x 2 + y 2 = 1 and the cross sections perpendicular to x -axis are triangles whose height and base are equal.

Solution Summary: The author explains how the volume V of a solid is 8 3 and the cross sections perpendicular to x -axis are triangles.

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V Find the volumeof solid whose base is a unit circle x2+y2=1 and the cross sections perpendicular to x-axis are triangles whose height and base are equal.

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Chapter 6 Solutions

$V$

Find the volumeof solid whose base is a unit circle $x^{2} + y^{2} = 1$ and the cross sections perpendicular to $x$ -axis are triangles whose height and base are equal.