The volume of a cone is 36piin to the power of 3. What is the volume of a cylinder with the same base and height as the cone?
![The volume of a cone is 36piin to the power of 3 What is the volume of a cylinder with the same base and height as the cone class=](https://us-static.z-dn.net/files/d56/a9351514ceecd6e3a1ad33682da5a4fe.png)
Answer:
108πin³
Step-by-step explanation:
The volume of a cone = ⅓ of the volume of a cylinder
Thus, volume of cylinder = 2πr²h
Where, r = radius, h = height of cylinder.
Volume of cone = ⅓×πr²h
So therefore, the volume of a cone given = ⅓ of the volume of a cylinder with the same height and and base of the cone
Thus,
If Volume of cone = 36πin³ , volume of cylinder would be 3 × 36πin³
Volume of cylinder = 108πin³