One brand of coffee is packaged in cylinders where the height is equal to the radius, r The volume of the package, in cubic centimeters, can be found using the function cap v times r is equal to pi r cubed The number of ounces of coffee in the cylinder depends on the volume of the cylinder, cap v , in cubic centimeters. This can be modeled by the function cap c times cap v is equal to 3 point 2 cap v Which function can be used to find the number of ounces of coffee in the can based on its radius?
Answer
A
cap c times open paren cap v times r close paren is equal to square root of 3 point 2 pi r end root
B
cap c times open paren cap v times r close paren is equal to 32 point 7 6 8 pi r cubed
C
cap c times open paren cap v times r close paren is equal to 3 point 2 pi r cubed
D
cap c times open paren cap v times r close paren is equal to square root of 32768 pi r end root
Explanation
The volume is V(r) = πr³, and the number of ounces is C(V) = 3.2V. Substitute the volume formula into the ounces formula: C(V(r)) = 3.2(πr³) = 3.2πr³. Therefore, choice C, 3.2πr³, gives the number of ounces based on the radius.
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