Find the Volume of the Solid Bounded by the Paraboloid $z = x ^ { 2 } + y ^ { 2 }$

question 128

Multiple Choice

Find the volume of the solid bounded by the paraboloid $z = x ^ { 2 } + y ^ { 2 }$ and the plane $z = 4$ .

• A)4\(\pi\)
• B)8\(\pi\)
• C)12\(\pi\)
• D)16\(\pi\)
• E)24\(\pi\)
• F)32\(\pi\)
• G)48\(\pi\)
• H)64\(\pi\)

---

Definitions:

Confidence Level

The probability that the value of a parameter falls within a specified range of values, often used in confidence intervals.

Sample Size

The total count of data points or observations gathered from a population to perform statistics.

Error of Estimation

Error of estimation is the discrepancy between an estimated value and the true value of a parameter being estimated.

Sampling Error

The error caused by observing a sample instead of the whole population, affecting the precision of statistical estimates.