Answer:
The formula \(\frac{1}{3}\times3.14\times3\times3\times7\) is used to find the cone volume.
Step-by-step explanation:
We know that the radius of cylinder is = 3 feet
Height of the cylinder is = 7 feet
Its volume can be found as :
\(v=\pi r^{2}h\)
= \(3.14\times3\times3\times7=197.82\) cubic feet
Now, volume of cone is given as :
\(v=\frac{1}{3} \pi r^{2} h\)
This means, the volume of cone is one-third the volume of cylinder.
So, the volume of cone that can fit in the cylinder will be one-third the volume of cylinder.
\(\frac{1}{3}\times3.14\times3\times3\times7 = 65.94\) cubic feet
If we want to check we can say that the volume of cylinder is three times cone. \(65.94\times3=197.82\)
Therefore, a cone with volume 65.94 cubic feet will fit into a cylinder with volume 192.82.
