The Volume of a Right-Circular Cylinder of Radius R and Height

question 73

Multiple Choice

The volume of a right-circular cylinder of radius r and height h is . ​
Suppose the radius and height of the cylinder are changing with respect to time t. At a certain instant of time, the radius and height of the cylinder are 6 and 3 in. and are increasing at the rate of 0.4 and 0.1 in./sec, respectively. How fast is the volume of the cylinder increasing?

• A) 18 in³/sec
• B) 10.7 in³/sec
• C) 22.7 in³/sec
• D) 9.4 in³/sec

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Definitions:

Different Alleles

Variants of the same gene that exist at the same locus on a chromosome but encode for different traits.

Intermediate

A level of proficiency that falls between beginner and advanced, often indicating a moderate grasp of skills or knowledge.

Homozygous

Having inherited two genes of the same allelic form for a trait.

Allelic Form

Allelic form refers to the variant form of a gene that arises by mutation and is found at the same place on a chromosome as other alleles of the gene, leading to genetic diversity within a population.