The volume of the cylinder is 170cm³ and the height is 9cm. Work out the diameter.

The diameter of the cylindeer is 4.91 cm.

Step-by-step explanation:

The formula for the volume of a cylinder of radius r and height h is

V = πr²h.  Recall that 2r = d and that r = d/2, so that r² =d²/4.  Now solve V = πr²h for r² and then substitute d²/4 for r²:

           V              d²

r² = =      Multiplying all three terms of this equation by 4

         πh               4           yields an equation for d²:

         4V              

      =       d²    

         πh              

Now substitute 170 cm³ for V and 9 cm for h.  then we have an expression

for d²:

4(170 cm³)        680 cm²

= = d² = 24.06 cm²

  π(9 cm)            9(3.14)

Finally, take the square root of both sides to obtain an expression for d:

d = +√(24.06 cm²) = 4.91 cm

The diameter of the cylindeer is 4.91 cm.

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.