As of October, 2016 the world's largest pumpkin weighed 1190 kilograms. In order to grow a record-setting pumpkin, the fruit's mass must increase by an average of 18 kg/day. If we assume that the density of raw pumpkin is approximately 0.50g/cm³ we can convert this to an increase in volume of 1.27ft³/day. If the volume of a spherical pumpkin is increasing at 1.27ft³/day, then how fast is the surface area of the pumpkin changing when the diameter of the pumpkin is 7 ft? Give the answer with two decimal places, and include units.
As of October, 2016 the world's largest pumpkin weighed 1190 kilograms. In order to grow a record-setting pumpkin, the fruit's mass must increase by an average of 18 kg/day. If we assume that the density of raw pumpkin is approximately 0.50g/cm³ we can convert this to an increase in volume of 1.27ft³/day. If the volume of a spherical pumpkin is increasing at 1.27ft³/day, then how fast is the surface area of the pumpkin changing when the diameter of the pumpkin is 7 ft? Give the answer with two decimal places, and include units.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![As of October, 2016 the world's largest pumpkin weighed 1190
kilograms. In order to grow a record-setting pumpkin, the fruit's
mass must increase by an average of 18 kg/day. If we assume
that the density of raw pumpkin is approximately 0.50g/cm³ we
can convert this to an increase in volume of 1.27ft³/day.
If the volume of a spherical pumpkin is increasing at 1.27ft³/day,
then how fast is the surface area of the pumpkin changing when
the diameter of the pumpkin is 7 ft? Give the answer with two
decimal places, and include units.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b75834a-20c2-4555-aa36-a8fd1a7d3875%2F206d25c0-d133-451b-b43b-f96d2de2cf62%2F5n15c3c_processed.png&w=3840&q=75)
Transcribed Image Text:As of October, 2016 the world's largest pumpkin weighed 1190
kilograms. In order to grow a record-setting pumpkin, the fruit's
mass must increase by an average of 18 kg/day. If we assume
that the density of raw pumpkin is approximately 0.50g/cm³ we
can convert this to an increase in volume of 1.27ft³/day.
If the volume of a spherical pumpkin is increasing at 1.27ft³/day,
then how fast is the surface area of the pumpkin changing when
the diameter of the pumpkin is 7 ft? Give the answer with two
decimal places, and include units.
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