400,00 has a value of 400
1 answer:
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Answer:
The rate of change of the volume of the cylinder at that instant =
Step-by-step explanation:
Given:
Rate of increase of base of radius of base of cylinder = 7 mm/hr
Height of cylinder = 1.5 mm
Radius at a certain instant = 12 mm
To find rate of change of volume of cylinder at that instant.
Solution:
Let represent radius of base of cylinder at any instant.
Rate of increase of base of radius of base of cylinder can be given as:
Volume of cylinder is given by:
Finding derivative of the Volume with respect to time.
Plugging in the values given:
Using
(Answer)
Thus rate of change of the volume of the cylinder at that instant =
The most accurate determination for the number of 45.36 feet per second Tyrone traveled on his way to work.
Given that,
Using a stopwatch Tyrone determines it takes him 58.2 minutes to travel 30 miles to work the stopwatch measures to hundredths of a minute going by the accuracy of the stopwatch.
We have to determine,
Which is the most accurate determination for the number of feet per second Tyrone traveled on his way to work?
According to the question,
Tyrone determines it takes him 58.2 minutes to travel 30 miles to work,
the stopwatch measures to hundredths of a minute going by the accuracy of the stopwatch are determined by,
Substitute the values in the equation,
If 1 mile = 5,280 feet, then his speed is,
And 1 minute = 60 seconds, then his speed is,
Hence, The most accurate determination for the number of 45.36 feet per second Tyrone traveled on his way to work.
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