The volume of a right circular cone of radius r and height h is Suppose that the radius and height of the cone are changing with respect to time t.

a. Find a relationship between

b. At a certain instant of time, the radius and height of the cone are 12 in. and 13 in. and are increasing at the rate of 0.2 in./sec and 0.5 in./sec, respectively. How fast is the volume of the cone increasing?


a.

b. 44.8? in.3/sec

Mathematics

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Solve the problem.Write the number in words: 8,030,795

A. eighty-three hundred thousand, seven hundred ninety-five B. eight million, three thousand, seven hundred ninety-five C. eight million, three hundred thousand, seven hundred ninety-five D. eight million, thirty thousand, seven hundred ninety-five

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Use the Laws of Exponents to simplify. Write the answer with positive exponents. All variables are nonzero.(5s-2)2

A. - 
B.
C.
D.

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Find the inventory value using the specific identification method.DescriptionCost10-gauge$2712-gauge$4214-gauge$5316-gauge$57

A. $44.75 B. $89.50 C. $152.00 D. $179.00

Mathematics

Write the equation that results in the desired transformation.The cubing function, vertically shrunk by a factor of 0.3

A. y = 0.3x3
B. y = (x + 0.3)3
C. y = 0.3
D. y = (x - 0.3)3

Mathematics