$\text { The radius of a right circular cylinder is } \sqrt { 3 t + 6 } \text { and its height is } t ^ { 5 } \text {, where } t \text { is }$

question 57

Multiple Choice

$\text { The radius of a right circular cylinder is } \sqrt { 3 t + 6 } \text { and its height is } t ^ { 5 } \text {, where } t \text { is }$ time in seconds and the dimensions are in inches. Find the rate of change of the volume of the cylinder, V, with respect to time.

• A) \(\frac { d V } { d t } = \pi t ^ { 4 } ( 30 + 15 t )\) cubic inches per second
• B) \(\frac { d V } { d t } = \pi t ^ { 4 } ( 30 + 18 t )\) cubic inches per second
• C) \(\frac { d V } { d t } = \pi t ^ { 3 } ( 30 + 18 t )\) cubic inches per second
• D) \(\frac { d V } { d t } = \pi t ^ { 4 } ( 6 + 18 t )\) cubic inches per second
• E) \(\frac { d V } { d t } = \pi t ^ { 5 } ( 30 + 18 t )\) cubic inches per second

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Definitions:

P-Value Approach

A method in statistical hypothesis testing that uses the calculated probability to determine the significance of the observed data.

Emergency Calls

Telephone calls made to emergency services in situations of acute need for assistance.

Chi-Square Distribution

A statistical distribution used for hypothesis testing of categorical variables.

Expected Frequencies

The theoretically predicted count of occurrences in each category of a contingency table under the assumption that the null hypothesis is true.