Question

Find the missing dimension of the cylinder. Round your answer to the nearest hundredth.

A cylinder with the radius of the base labeled z and the height of the cylinder labeled 15 meters. The volume is equal to 1696.5 cubic meters.

Answer 1

Answer:

The missing dimension, radius = 6.00 m

Step-by-step explanation:

We are given the following things:

Height of cylinder, $h$  = 15 m

Radius of cylinder, $r = z$ m (Labelled as $z$)

Volume of cylinder, $V = 1696.5\ m^{3}$

Please refer to the image attached for the dimensions of cylinder as given.

We know that the volume of a cylinder can be given as:

$V = \pi r^{2} h$

Where $r$ is the radius of cylinder

$h$ is the height of cylinder

Putting the values of $V, r \text{ and } h$:

$1696.5 = \pi z^{2} \times 15\\\Rightarrow z^{2} = 36.01\\\Rightarrow z = 6.00\ m$

Hence, The missing dimension, radius = 6.00 m