Question

The volume of a right cylinder is 155.4 ft. 3 The radius is 3 ft. Determine the height of the cylinder.

Answer 1

Answer:

The height is approximately 5.4961507

Step-by-step explanation:

The volume of a right cylinder is $v=$ π · r² · h, where r is the radius and h is the height.

We know the radius and volume. We can figure out the height like so:

$v= pi * r^2 * h\\\\\frac{v}{pi * r^2} = \frac{pi * r^2 * h}{pi * r^2}\\\\\frac{v}{pi * r^2} = h$

Now, we just substitute the known values in for their corresponding variables:

$\frac{155.4}{3.1415927 (approx.) * (3)^2} = h\\\\\frac{155.4}{3.1415927 (approx.) * 9} = h\\\\\frac{155.4}{28.2743339 (approx.)} = h\\\\5.4961507 = h$

The height of the cylinder is approximately 5.4961507