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Answer:
The space inside the box = 2197 in³ - 1436.76 in³ is 760.245 in³.
Step-by-step explanation:
Here we have the volume of the cube box given by the following relation;
Volume of cube = Length. L × Breadth, B × Height, h
However, in a cube Length. L = Breadth, B = Height, h
Therefore, volume of cube = L×L×L = 13³ = 2197 in³
Volume of the basketball is given by the volume of a sphere as follows;
Volume =
Where:
r = Radius = Diameter/2 = 14/2 = 7in
∴ Volume of the basketball =
Therefore, the space inside the box that is not taken up by the basketball is found by subtracting the volume of the basketball from the volume of the cube box, thus;
The space inside the box = 2197 in³ - 1436.76 in³ = 760.245 in³.
By the Pythagorean theorem,
The value of when
comes to be
.
Given that trigonometric ratio:
The tangent of an angle is the ratio of the opposite side(to that angle) to the adjacent side(to that angle).
So, for the given problem
Opposite side to = 11
Adjacent side to = 60
So,
Therefore, the value of when
comes to be
.
To get more about trigonometric ratios visit: