1. find the volume for 5 different spheres by randomly choosing different radii. using the same radii values, find the volume of 5 cylinders where the height of the cylinder is the same as the diameter of the sphere.

The volume of the sphere is given by :

V=

And volume of cylinder is given as :

V=

So, as given to select the radius randomly and the height of the cylinder will be the diameter of the sphere.

The radius are = 3, 5, 8, 10, 12

And height will be = 6, 10, 16, 20, 24

1. Volume of sphere with radius 3 = units

Volume of cylinder with radius 3 and height 6 = units

2. volume of sphere with radius 5 = 523.60 units

volume of cylinder with height 10 = 785.40 units

3. volume of sphere with radius 8 = 2144.66 units

volume of cylinder with height 16 = 3216.99 units

4. volume of sphere with radius 10 = 4188.79 units

volume of cylinder with height 20 = 6283.19 units

5. volume of sphere with radius 12 = 7238.23 units

volume of cylinder with height 24 = 10857.34 units

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )

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