whats the volume of a cylinder with 5 cm^2 for base and 3 cm for height?
To calculate 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:
Base area (A) = 5 cm^2
Height (h) = 3 cm
First, we need to find the radius (r) of the base. The formula for the area of the base of a cylinder is A = πr^2.
5 cm^2 = πr^2
r^2 = 5 cm^2 / π
r^2 ≈ 1.5915
r ≈ sqrt(1.5915)
r ≈ 1.261 cm
Now, we can calculate the volume of the cylinder using the formula V = πr^2h:
V = π(1.261)^2(3)
V = π(1.5915)(3)
V ≈ 4.7745 * 3
V ≈ 14.3235 cm^3
Therefore, the volume of the cylinder is approximately 14.3235 cubic centimeters.