Determine an appropriate domain of the function. Identify the independent and dependent variables.
-A cylindrical water tank with a radius of 9 feet and a height of 65 feet is filled to a height of h. The volume V of water (in cubic feet) is given by the function g(h) = 81 $\pi$h.
A)D = [0, 65]The independent variable is h.The dependent variable is V.
B) D = [0, 65] The independent variable is V.The dependent variable is h.
C) D = [0, 5265 $\pi$] The independent variable is V.The dependent variable is h.
D) D = [0, 81]The independent variable is h.The dependent variable is V.

Question

Determine an appropriate domain of the function. Identify the independent and dependent variables.
-A cylindrical water tank with a radius of 9 feet and a height of 65 feet is filled to a height of h. The volume V of water (in cubic feet) is given by the function g(h) = 81 $\pi$h.
A)D = [0, 65]The independent variable is h.The dependent variable is V.
B) D = [0, 65] The independent variable is V.The dependent variable is h.
C)  D = [0, 5265 $\pi$] The independent variable is V.The dependent variable is h.
D) D = [0, 81]The independent variable is h.The dependent variable is V.

Quizplus · Accepted Answer

The function g(h) = 81πh calculates the volume of water in the tank based on the height h of the water. The domain D = [0, 65] represents the possible heights of water in the tank, from 0 to 65 feet. The independent variable is h (the height of the water), and the dependent variable is V (the volume of water), as the volume depends on the height.

Determine an Appropriate Domain of the Function π\piπ H A)D = [0, 65]The Independent Variable Is H

Determine an Appropriate Domain of the Function $\pi$ H
A)D = [0, 65]The Independent Variable Is H