davidodonnell2ov55ob
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)1. In the cone below, the radius is 6 meters and the height is 8 meters. Show your work to receive full credit.

A)Find the exact value of the volume of the cone:
V=

B)Find the approximate value of the volume of the cone to the nearest tenth:
V=

1 In the cone below the radius is 6 meters and the height is 8 meters Show your work to receive full credit AFind the exact value of the volume of the cone V BF class=

Respuesta :

Volume = (base x height) /3
              = (6^2π x 8) /3
              = 113.097335529 ÷ 3 
              = 37.6991118431  
b) For question b, I assume you just need to round the number off to 1 decimal place which is 37.7
            



JeanaShupp

Answer: A) [tex]V=301.44\text{ meters}^3[/tex]

B) [tex]V=301.4\text{ meters}^3[/tex]

Step-by-step explanation:

Given: The radius of cone = 6 meters

the height of cone =  8 meters

We know that the volume of cone is given by :-

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

Therefore, the volume of given cone will be :_

[tex]\text{Volume }=\frac{1}{3}\times3.14(6)^2(8)\\\\\Rightarrow\text{Volume}=301.44\text{ meters}^3[/tex]

The exact value of the volume of the cone:[tex]V=301.44\text{ meters}^3[/tex]

Also, [tex]301.44\approx301.4\text{ meters}^3[/tex]

Thus,  the approximate value of the volume of the cone to the nearest tenth:  

V=[tex]301.4\text{ meters}^3[/tex]

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