Use the linear approximation to estimate the change in volume of a right-circular cone of radius r=40 cm if the height is increased from 40 to 41 cm. (Use decimal notation. Give your answer to three decimal places.)

The change in volume is .

Step-by-step explanation:

The radius of the cone is 40 cm and the height increase from 40 to 41 cm.

The volume of the cone is,

Differentiate with respect to h,

further simplify as:

substitute the value of 1 for  and 40 for r:

Hence, the change in volume is .

answer: 140

step-by-step explanation:

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answer for #1 is c

answer for #2 is d

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