whats the volume of a cylinder with 3 cm^2 for base and 6 cm for height?
To find the volume of a cylinder, you use the formula V = πr^2h, where r is the radius of the base and h is the height of the cylinder.
Given that the base has an area of 3 cm^2, we can find the radius by solving for r in the formula for the area of a circle which is A = πr^2.
3 = πr^2
r^2 = 3/π
r = √(3/π) = √(3/π) cm
Now that we have found the radius, we can calculate the volume of the cylinder with a height of 6 cm.
V = π(√(3/π))^2 * 6
V = π(3/π) * 6
V = 18 cm^3
Therefore, the volume of the cylinder is 18 cm^3.