Q:

A cube-shaped tank that measures 4.64.6 meters on each side is full of water. If some water is drained to fill a cone with a height of 66 meters and a radius of 2.52.5 meters, approximately how much water is left in the tank? Use 3.143.14 for ππ and round your answer to the nearest tenth. The amount of water left in the tank is approximately __________ cubic meters.

Accepted Solution

A:
Answer:The amount of water left in the tank is approximately 58.1 cubic metersStep-by-step explanation:step 1Find the volume of the a cube shape tankThe volume is equal to[tex]V=b^{3}[/tex]we have[tex]b=4.6\ m[/tex]substitute[tex]V=4.6^{3}=97.336\ m^{3}[/tex]step 2Find the volume of coneThe volume is equal to[tex]V=\frac{1}{3}\pi r^{2}h[/tex]we have[tex]r=2.5\ m[/tex][tex]h=6\ m[/tex][tex]\pi =3.14[/tex]substitute[tex]V=\frac{1}{3}(3.14)(2.5)^{2}(6)[/tex][tex]V=39.25\ m^{3}[/tex]step 3Find the difference of the volumes[tex]97.336\ m^{3}-39.25\ m^{3}=58.1\ m^{3}[/tex]