Find the Volume of the Solid Obtained by Rotating the Region

question 114

Multiple Choice

Find the volume of the solid obtained by rotating the region bounded by $y = 2 \sqrt [ 4 ] { x }$ and $y = 2 x$ about the line $y = 2$ .

• A) \(\frac { 16 \pi } { 15 }\)
• B) \(\frac { 2 } { 9 }\)
• C) \(\frac { 1 } { 16 }\)
• D) \(\frac { \pi } { 9 }\)
• E) \(\frac { 8 \pi } { 9 }\)

---

Definitions:

Mask The Taste

Techniques or substances used to hide or alter the flavor of something, especially in pharmaceuticals, to make it more palatable.

Liquid Medication

Medicines that are in liquid form, intended for oral ingestion, injections, or other routes of administration.

Meniscus

The curved surface of a liquid in a tube or a piece of cartilage in the knee that acts as a cushion between the femur and tibia.

Large-Gauge Needle

A needle of larger diameter, typically used for rapid administration of substances or for procedures requiring increased flow rates.