N^3 + 1000
Steps
you have to apply the sum of cubes rule: x^3 + y^3 = (x + y)(x^2 - xy + y^2)
which is... n^3 + 1000 = (n + 10)(n^2 - 10n + 10^2)
= (n + 10)(n^2 - 10n + 10^2)
Simplify
= (n = 10)(n^2 - 10n + 100)
Answer:
104.7 in^3
Step-by-step explanation:
Step one:
given data
The ball has a radius of 5 inches and
the cylinder has a height of 8 inches
Step two:
The volume of the cylinder

substitute our data

The volume of the ball

substitute our data

The space will have a volume of
=628.4-523.7
=104.7 in^3
Answer:
Step-by-step explanation:
Similar triangles

Cross multiply
2*(x+2) = 3*x
2x + 2*2 = 3x
2x + 4 = 3x
Subtract 2x from both sides
2x + 4 -2x = 3x - 2x
4 = x
x = 4