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Reattempt this question Question with last attempt is displayed for your review only expression 3 1-calculates the volume of a sphere (measured in cubic inches) when the radius of the sphere is r inches. Suppose this relationship between the volume and radius of a sphere is given by the function h where: a. Create an expression using function notation (i.e. the left side of the definition above) that represents the change in sphere volume resulting from an increase in the sphere's radius from 2 inches to 7 inches. arapi·2.3-4/3pm-1 Preview b, The answer to part (a) 3·equal h(5) because 7-2-5 Othe change in volume does not equal the change in radius Oh(5) is a specific sphere volume and not a change in sphere volume O h(5) is the change in sphere volume whenever the radius changes by 5 in. Othe difference in sphere volumes computes a spec Ec volume of a sphere c. How much does a sphere's volume increase when the radius increases from 5. 5 inches to 9.4 inches? Represent this value as an expression using function notation, and find the value. (Hint: your answer will be in the form h(b)- h(a) k) Preview Post this question to forum

Explanation / Answer

a) change in sphere volume

4/3 * pi * (7)^3 - 4/3 * pi (2)^3

h(b) - h(a) = 4/3 pi ( 335 )

h(b) - h(a) = 1340/3 pi

b) h(5) = 4/3 pi (5)^3 = 500pi / 3

answer to part a doesnt equal h(5) because h(5) is the specific volume when radius = 5

c) 5.5 to 9.4 inches

h(b) - h(a) = 4/3 pi [ 9.4^3 - 5.5^3 ]

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