Concept explainers
(a)
To express: the amount
(a)
Answer to Problem 87RE
The amount of material required can be expressed as
Explanation of Solution
Given:
volume = 250 cubic centimetres
Calculation:
So, let us take
Radius of the cylindrical can
Height of the cylindrical can
Now
Volume of the cylindrical can
Here the volume as 250 cubic centimeters. So, we get
Here, express the amount
Now, the amount of material required to make the can is equal to the total surface area of the can. So,
Since, we have to express the amount in terms of $r,$ we have to eliminate
Using the value of
Therefore, the amount of material required can be expressed as
Conclusion:
Therefore, the amount of material required can be expressed as
(b)
To find:the amount of material required
(b)
Answer to Problem 87RE
The amount of material required is
Explanation of Solution
Calculation:
Here, find out the amount of material required if the radius of the can is
So, using
Therefore, the amount of material required is
Conclusion:
Therefore,the amount of material required is
(c)
To find:the amount of material required if radius is 5 centimetres
(c)
Answer to Problem 87RE
Therefore, the amount of material required is
Explanation of Solution
Calculation:
Here, find out the amount of material required if the radius of the can is
So, using
Therefore,the amount of material required is
Conclusion:
Therefore,the amount of material required is
(d)
To graph:
(d)
Answer to Problem 87RE
The amount of material required
Explanation of Solution
Calculation:
Here, we need to plot a graph for
From the graph, the value of
Therefore,
For
Conclusion:
Therefore,
For
Chapter 4 Solutions
Precalculus
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