The area of a cross section of a cylindrical steel rod is 2.7cm^2. Find the volume of steel in a 23cm length of this rod.
AAAaannndd the bot gets it wrong yet again!
2.7cm^2 x 23cm = 62.1 cm^3
good grief :(
To find the volume of steel in the rod, we need to first calculate the cross-sectional area of the rod. Given that the area of the cross section is 2.7 cm², we can use this information to find the radius of the rod.
The formula for the area of a circle is A = πr², where A represents the area and r represents the radius. Rearranging the formula to solve for r, we get r = √(A/π).
Plugging in the given area of the cross section, we have r = √(2.7/π) cm.
Next, we need to calculate the volume of the cylindrical rod. The formula for calculating the volume of a cylinder is V = Ah, where V represents the volume, A represents the cross-sectional area, and h represents the height.
Since we have the length of the rod (h = 23 cm) and we calculated the cross-sectional area (A = 2.7 cm²), we can now substitute these values into the formula to calculate the volume.
V = 2.7 cm² * 23 cm
V = 62.1 cm³
Therefore, the volume of steel in the 23 cm length of the rod is 62.1 cm³.
Volume of steel = Area of cross section x Length
Volume of steel = 2.7cm^2 x 23cm
Volume of steel = 61.1cm^3