Question

A large water basin is in the shape of a right cylinder. The inside of the basin has a diameter of 8 1/4 feet and a height of 3 feet. Determine and state, to the nearest cubic foot, the number of cubic feet of water that it will take to fill the basin to a level of 1/2 foot from the top

Answer 1

Answer:

Therefore,

The Water in the basin will be approx 134 cubic feet.

Step-by-step explanation:

A large water basin is in the shape of a right cylinder.

Given:

Diameter = d = 8.25 feet

$Radius= r =\dfrac{d}{2}=\dfrac{8.25}{2}=4.125\ feet$

Height = h = 3 feet

To Find:

Cubic feet of water that it will take to fill the basin to a level of 1/2 foot from the top = ?

Solution:

When the water will take to fill the basin to a level of 1/2 foot from the top the new height of Cylinder filled with water will be

$h_{w}=h-0.5$

Substituting the values we get

$h_{w}=3-0.5=2.5\ feet$

Now Volume Of Cylinder is given by

$\textrm{Volume of Cylinder}=\pi r^{2}h$

Where,

Height = h

Radius = r

pi = 3.14

Substituting the values,Volume of Water we will get

$\textrm{Volume of Water in Cylinder}=3.14\times 4.125^{2}\times 2.5$

$\textrm{Volume of Water in Cylinder}=133.572\approx 134\ feet^{3}$

Therefore,

The Water in the basin will be approx 134 cubic feet.