To find the slant height of the conical part, we will use the Pythagorean theorem. In the diagram, the height of the cone is 4 cm, and the radius (half the diameter of the base) would be 3 cm.
The slant height \( l \) of a cone can be calculated using the formula:
\(l = \sqrt{r^2 + h^2}\)
Where:
\( r \) is the radius of the base, which is 3 cm
\( h \) is the height of the cone, which is 4 cm
Substitute the values into the formula:
\(l = \sqrt{3^2 + 4^2}\)
\(= \sqrt{9 + 16}\)
\(= \sqrt{25}\)
\(= 5\)
Therefore, the slant height of the conical part is 5 cm.
