+128475 First one :
Volume of a cylinder = pi * radius^2 * height
Radius of top cylinder = 24/2 = 12
Height of top cylinder = 60 - 40 = 20
Radius of bottom cylinder = 30/2 = 15
Height of bottom cylinder = 40
So....total volume is
pi [ 12^2 * 20 + 15^2 * 40 ] =
pi [ 144 * 20 + 225 * 40 ] =
pi [ 2880 + 9000 ] =
pi [ 11880 ] =
11880 pi in^3
+128475 Second one
Note that the height of the cylinder = 2 * radius of the sphere
And the radius of the sphere = radius of cylinder
We need to find the radius of the cylinder
432 pi = pi * radius^2 * height
432 pi = pi * ( radius^2) *( 2* radius) [ divide out 2, pi ]
216 = radius^3 take the cube root of both sides
6 = radius
So....the volume of the sphere is
(4/3) pi * (radius)^3 =
pi * (4/3) * 6*3
pi * (4/3) * 216 =
288pi in^3
