What is the approximate volume of a cone with a radius of 15 cm and a height of 4 cm? Round your answer to the nearest hundredth and include units

Respuesta :

Answer:

Volume of a cone [tex]=942.86cm^3[/tex]

Step-by-step explanation:

Given that the radius of a cone is 15cm and its height is 4cm

That is r=15cm and h=4cm

To find the volume of a cone :

volume of a cone[tex]=\frac{\pi r^2h}{3}[/tex] cubic units

Now substitute the values in the formula we get

volume of a cone[tex]=\frac{(\frac{22}{7}) (15)^2(4)}{3}[/tex]  

[tex]=\frac{(\frac{22}{7}) (225)(4)}{3}[/tex]

[tex]=\frac{19800}{21}[/tex]

[tex]=942.857[/tex]

Now round to nearest hundredth

[tex]=942.86[/tex]

Therefore Volume of a cone[tex]=942.86cm^3[/tex]

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