Find the diameter of a cylinder with the volume of 90π cm^3 and a height of 10cm

For this case we have that by definition, the volume of a cylinder is given by:

Where:

r: It is the radius of the cylinder

h: It is the height of the cylinder

According to the problem data we have:

We replace the data:

We simplify:

We choose the positive value:

Thus, the radius of the cylinder is 3 cm. Therefore the diameter is

The diameter of the cylinder is

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: