The volume of a cone is 27 cm3 . What is the volume of a cylinder that shares the same radius and height as the cone?(1 point)
cm3
The answer is not 27 cm^3
To find the volume of a cylinder that shares the same radius and height as the cone, we can use the formula for the volume of a cylinder, which is V = pi * r^2 * h.
We know that the volume of the cone is 27 cm^3, so we can set up the equation:
27 = pi * r^2 * h
Now, since the cone and the cylinder have the same radius and height, we can replace them with the same variables:
27 = pi * r^2 * h
To find the volume of the cylinder, we can rearrange the equation to solve for V:
V = pi * r^2 * h
Plugging in the given values of r and h, we get:
V = pi * r^2 * h
V = pi * (r^2 * h)
V = pi * (r^2 * h) / 3
V = (pi * r^2 * h) / 3
Therefore, the volume of the cylinder is (pi * r^2 * h) / 3 cm^3. So, the answer is not 27 cm^3.