the volumes of the three aquariums.
Answer to Problem 20PPS
The volume of the cylinder
The volume of the cylinder
The volume of the cylinder
Explanation of Solution
Given:
The dimensions of the largest are
The dimensions of the smallest are
Formula used:
The volume
Calculation:
Consider there are three cylinders. One cylinder is larger than the one in the figure and the other is smaller than the one in the figure.
Consider the dimensions of the largest cylinder are
First convert the mixed number into rational number.
The objective is to find the volume of the three cylinders.
Let
First find the volume of the cylinder
The volume
Where
Since radius is always half that of diameter, so the radius of the cylinder is
The volume
Therefore, the volume of the cylinder
Two solid figures are similar if they have the same shape and their corresponding linear measurements are proportional.
Since both the figures are cylinder and their corresponding linear measurements are
The ratio of the diameter of cylinder
The scale factor is
Now, use the property that if two solids are similar with scale factor of
Thus,
Therefore, the volume of the cylinder
Next find the volume of the cylinder
Since both the figures are cylinder and their corresponding linear measurements are
The ratio of the diameter of cylinder
The scale factoris
Now, use the property that if two solids are similar with scale factor of
Thus,
Therefore, the volume of the cylinder
Conclusion:
Therefore, the volume of the cylinder
The volume of the cylinder
The volume of the cylinder
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