Respuesta :

Question :-

What is the volume of the cone? (Use 3.14 for π)

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Solution :-

Given Information :-

  • Vertical Height of Cone = 17 ft
  • Radius of the base of the Cone = 10 ft
  • Radius² = 10² = 100 ft
  • Value of π = 3.14

To Find :-

  • Volume of the Cone.

Formula Used :-

  • [tex]V = \sf \frac{1}{3} \pi {r}^{2} h[/tex]

Calculation :-

We have to substitute the given values in the formula to calculate the volume.

[tex] \sf : \implies Volume = \frac{1}{3} \pi {r}^{2} h[/tex]

Substituting the values, We get,

[tex] \sf: \implies Volume = \frac{1}{3} \times 3.14 \times 100 \times 17[/tex]

Calculating further, We get,

[tex] \sf: \implies Volume = 1,779.33 \: ft³[/tex]

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Final Answer :-

The Volume of Cone is 1,779.33 ft³.

Hence, option 2 i.e., 1779.33 ft³.

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