1 answer
(click or scroll down)
The volume of a cone is given by the formula: V = (1/3)Ï€r^2h, where V is the volume, r is the radius, and h is the height.
We know that the volume of the cone is 27 cm^3. Plugging this into the formula, we get:
27 = (1/3)Ï€r^2h
Now, let's find the volume of the cylinder. The volume of a cylinder is given by the formula: V = πr^2h, where V is the volume, r is the radius, and h is the height.
Since the radius and height of the cone and cylinder are the same, we can write:
V_cylinder = πr^2h
To find the volume of the cylinder, we just need to determine the value of πr^2h. We already know that 27 = (1/3)πr^2h, so multiplying both sides of this equation by 3/π gives:
81/Ï€ = r^2h
Therefore, the volume of the cylinder is 81/Ï€ cm^3.