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

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

look a the sides they are perpendicular