Find the Volume of the Described Solid $x$ -Axis At $x = 0$

question 66

Multiple Choice

Find the volume of the described solid.
-The solid lies between planes perpendicular to the $x$ -axis at $x = 0$ and $x = 9$ . The cross sections perpendicular to the $x$ -axis between these planes are squares whose bases run from the parabola $y = - 2 \sqrt { x }$ to the parabola $y = 2 \sqrt { x }$ .

• A) 162
• B) 648
• C) 324
• D) 640

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Definitions:

Ife Figures

Ancient artistic sculptures from the Yoruba city of Ife, in present-day Nigeria, celebrated for their sophisticated realism and craftsmanship.

Yoruba Kingdom

Refers to the historical kingdoms of the Yoruba people in West Africa, known for their rich cultural heritage, art, and significant influence in the region pre-colonization.

Sacred Kingship

The concept where the king is seen as a divine or semi-divine figure, embodying the religious and political well-being of his realm.

Clay Sculpture

Art forms created by shaping and molding clay into three-dimensional figures or objects, a technique used since ancient times.