sbcmangum sbcmangum
  • 18-04-2020
  • Mathematics
contestada

A cone has a volume of 75 pie and a height of 9 cm.
What is the cone's diameter?
Enter your answer in the box.

Respuesta :

Wallind11
Wallind11 Wallind11
  • 18-04-2020

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

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