Answer:
Volume of the cone is given by
[tex]V = \frac{\pi {r}^{2}h }{3} = 75\pi[/tex]
[tex] = > \frac{\pi {r}^{2}9 }{3} = 75\pi[/tex]
[tex] = > {r}^{2} = \frac{75\pi}{\pi \times 3} = 25[/tex]
[tex] = > r = \sqrt{25} = 5[/tex]
Diameter of the cone = 2×5 cm = 10 cm
