Plz help!!! Calvin is filling the pool in his backyard with water. If the pool is in the shape of a cylinder with a diameter of 12ft and a height of 5 ft, how much water is needed to fill a 3/4 of the pool?

Volume is a measure of the space occupied by an object in three-dimensional space, using cubic units to measure it. The volume formula depends on the shape of the figure and its different dimensions.

Volume can be considered as the capacity of a container to hold a quantity of fluid (gas or liquid).

Volume of a cylinder

In the case of a cylinder, it is characterized by having two circular bases and a surface that joins the two bases. So the volume of a cylinder is π×r²×h.

Amount of water needed

In first place, you must know that the length of the radius is half the length of the diameter.

On the other side, it is needed to fill a 3/4 of the pool.

Then, considering the definition of volume and the expression of volume of a cylinder, the amount of water needed is calculated as:

amount of water=(3/4)×π×(12 ft ÷2)²× 5 ft

Solving:

amount of water=(3/4)×π×(6 ft)²× 5 ft

amount of water= 135π ft³

Finally, the amount of water needed to fill a 3/4 of the pool is 135π ft³.

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