Question

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

Answer 1

Answer: A) $V=301.44\text{ meters}^3$

B) $V=301.4\text{ meters}^3$

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 :-

$\text{Volume }=\frac{1}{3}\pi r^2h$

Therefore, the volume of given cone will be :_

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

The exact value of the volume of the cone:$V=301.44\text{ meters}^3$

Also, $301.44\approx301.4\text{ meters}^3$

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

V=$301.4\text{ meters}^3$

Answer 2

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