Question

Find the height of the figure below if the surface area is 651.13 mm^2
8.6 is the diameter

Answer 1

This figure is a cylinder. We can use the formula for the surface area
`A= 2 \pi r h + 2 \pi r x^(2)`. Since the radius is the half of the diameter, we can write that r=4.3mm. Setting
`\pi = 3.14`, we can calculate the height.
`2*3.14*h (h+4.3) =651.13`. Solving this quadratic equation we find two roots and one them is positive, which is the answer and it is approximately 8.257 mm