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

question 10

Multiple Choice

Find the volume of the described solid.
-The solid lies between planes perpendicular to the $x$ -axis at $x = 0$ and $x = 7$ . 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) 384
• B) 196
• C) 98
• D) 392

---

Definitions:

Alveoli

Tiny air sacs within the lungs where the exchange of oxygen and carbon dioxide takes place, essential for breathing.

Premenstrual Syndrome (PMS)

A set of severe symptoms associated with menstruation.

Toxic Shock Syndrome (TSS)

A rare, life-threatening complication of certain types of bacteria, most commonly the Staphylococcus aureus bacterium.

Menarche

The initial episode of menstrual bleeding in a female, signaling the beginning of fertility.