The degree of an expression in more than one variable is the highest sum of the powers of the variables in the terms.
Expression:
An algebraic expression is a combination of constant and variables connected by the signs of fundamental operations.
ex: 2x+5
Degree of an expression:
The degree of an expression in one variable is the highest exponent of the variable in that expression.
Ex:
2x^6 + x^4 + 5
Highest exponent = 6
so degree = 6
The degree of an expression in more than one variable is the highest sum of the powers of the variables.
Ex:
3x^1y^2 + 5x^3y^2 + 5
Sum of powers of variables = 3+2 = 5
Degree = 5.
Learn more about the expression here:
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<h3>
What's the height of a cylinder formula?</h3>
There are five basic equations which completely describe the cylinder with given radius r and height h:
- Volume of a cylinder: V = π * r² * h,
- Base surface area of a cylinder: A_b = 2 * π * r²,
- Lateral surface area of a cylinder: A_l = 2 * π * r * h,
- Total surface area of a cylinder: A = A_b + A_l,
- Longest diagonal of a cylinder: d² = 4 * r² + h².
Sometimes, however, we have a different set of parameters. With this height of a cylinder calculator you can now quickly use ten various height of a cylinder formulas which can be derived directly from the above equations:
- Given radius and volume: h = V / (π * r²),
- Given radius and lateral area: h = A_l / (2 * π * r),
- Given radius and total area: h = (A - 2 * π * r²) / (2 * π * r),
- Given radius and longest diagonal: h = √(d² - 4 * r²),
- Given volume and base area: h = 2 * V / A_b,
- Given volume and lateral area: h = A_l² / (4 * π * V),
- Given base area and lateral area: h = √(A_l² / (2 * π * A_b)),
- Given base area and total area: h = (A - A_b) / √(2 * A_b * π),
- Given base area and diagonal: h = √(d² - 2 * A_b / π),
- Given lateral area and total area: h = A_l / √(2 * π * (A - A_l)).
