Question 7: *
1 answer:
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The difference in volumes between cube and cone is 5190.52 cubic units.
<h3>How to find the volume of a cube?</h3>Suppose that:
The side length of the considered cube is L units.
Then, we get:
The volume of that cube = L³ cubic units.
The outer figure is a cube with an edge length of 20 centimeters.
The volume of that cube = L³ cubic units.
= 8000 cubic units.
The volume of that cone
The height is 20 cm and the radius will be
volume of that cone
=
= 59190.52 cubic units
Therefore, the difference in volumes bbetween cube and cone is 5190.52 cubic units.
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Solution :
Given :
2y''' + 15y'' + 24y' + 11y= 0
Let x = independent variable
is a differential equation.
If
It is non homogeneous then,
The general solution = complementary solution + particular integral
If Q(x) = 0
It is called the homogeneous then the general solution = complementary solution.
2y''' + 15y'' + 24y' + 11y= 0
Auxiliary equation,
-1 | 2 15 24 11
<u> | 0 -2 - 13 -11 </u>
2 13 11 0
∴
The roots are
So,
Then the general solution is :