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The volume of the silo is 461.81 m³
Step-by-step explanation:
A barn silo, excluding the top, is a cylinder
- The silo is 7 m in diameter
- Its height is 12 m
We need to find the volume of the silo
∵ The silo is shaped a cylinder
∵ The volume of a cylinder = base area × height
∵ The base is shaped a circle
∵ Area a circle = π r², where r is the radius of the circle
∴ The volume of the silo = π r² × h
∵ The diameter of the silo = 7 m
∵ The radius of a circle is half the diameter
∴ The radius of the silo = × 7 = 3.5 m
∵ The height of the silo = 12 m
- Substitute the values of r and h in the rule of volume
∴ The volume of the silo = π (3.5)² × 12
∴ The volume of the silo = 147 π = 461.81 m³
The volume of the silo is 461.81 m³
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Answer:
Step-by-step explanation:
An eigenvalue of n × n is a function of a scalar considering that there is a solution (i.e. nontrivial) to an eigenvector x of Ax =
Suppose the matrix
Thus, the equation of the determinant (A - 1) = 0
This implies that:
Hence, the eigenvalues of the equation are
Also, the eigenvalues can be said to be complex numbers.