Given:
The volume of the cone (V) = 1441.26 mm³
The height of the cone (h) = 17 mm
To find- the radius (r) of the cone.
Explanation-
The formula of the volume of the cone is mentoned below-
[tex]V=\frac{1}{3}\pi r^2h[/tex]The value of r will be-
[tex]1441.26=3.14\times\frac{1}{3}\times r^2\times17[/tex]On solving, we get
[tex]\begin{gathered} r^2=\frac{1441.26}{3.14}\times3\times\frac{1}{17} \\ r^2=459\times\frac{3}{17} \\ r^2=3^3\times17\times\frac{3}{17} \\ r^2=3^3\times3 \\ r=3\times3 \\ r=9mm \end{gathered}[/tex]Thus, the radius of the cone is 9 mm.
The answer is 9 mm.
