astat60 astat60
  • 20-04-2020
  • Mathematics
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What is the volume of the cone

What is the volume of the cone class=

Respuesta :

Hrishii
Hrishii Hrishii
  • 20-04-2020

Answer:

12.56 cubic units

Step-by-step explanation:

Let h be the height of given cone.

[tex]h = \sqrt{ {5}^{2} - {4}^{2} } \\ = \sqrt{25 - 16} \\ = \sqrt{9} \\ = 3 \\ \\ volume \: of \: cone \\ = \frac{1}{3} \pi {r}^{2} h \\ \\ = \frac{1}{3} \times 3.14 \times {2}^{2} \times 3 \\ \\ = \frac{1}{3} \times 3.14 \times 4 \times 3 \\ \\ =3.14 \times 4 \\ = 12.56 \: {units}^{3} \\ [/tex]

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