Function notation question. 4. Function notation: The volume of a right circular

Question

Function notation question.

4. Function notation: The volume of a right circular cylinder (a can) is calculated as the relationship between the height of the cylinder and the radius of the bottom of the can. The formula for the volume relationship is given by the function V(r, h)-2h. a. h l i. What is/are the input variable(s) for this function? ii. What is/are the output variable(s) for this function? ii. What is the volume of a can whose height is 6 in and whose radius is 1.5 in? That is, evaluate v(1.5,6) b. To find the length of the diagonal of a square we use a version of the D a Pythagorean Theorem. D(a) V2a2 where "a" is the length of the side of the square. (a i. What is the independent variable for this function? cI ii. What is the dependent variable for this function? iii. Evaluate D(10). Write a sentence explaining your result.

Explanation / Answer

4a) input variables are r and h

radius and height

ii) output variable is volume V

iii) V (1.5, 6 ) = pi * (1.5)^2 * 6

= 42.39 in ^3

b) D(a) = sqrt (2 a^2 )

i) independent variable is 'a"

ii) dependent variable is " D"

iii) D(10) = sqrt ( 2* 10^2 )

= 10 sqrt 2

length of diagonal of side 10 is 10 sqrt 2

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