The volume of a cone is 27c * m ^ 3 What is the volume of a cylinder that shares the same radius and height as the cone? (1 point) c * m ^ 3
The volume of a cone is given by the formula V = (1/3)πr^2h, where V is the volume, π is a constant (approximately 3.14159), r is the radius, and h is the height. In this case, the volume of the cone is given as 27c * m^3.
To find the volume of a cylinder with the same radius and height as the cone, we can use the formula V = πr^2h. Since the radius and height are the same for both shapes, we can substitute the values into the formula. The radius of the cone is r, and the height of the cone is h.
Therefore, the volume of the cylinder is V = π(r^2)(h) = π(r)(r)(h) = π(r)(h) = 27c * m^3.
Since π is a constant and (r)(h) is equal to 27c * m^3, the volume of the cylinder is also 27c * m^3.
So, the volume of the cylinder that shares the same radius and height as the cone is c * m^3.