A cone with a radius of 6 meters has a volume of 542.87 m^3. Find the slant height of the cone

Question

Round to the nearest tenth, please!  :)

Answer 1

Volume of cone V=⅓πr²h where r=radius of base and h is the vertical height.

h²+r²=s², where s is the slant length. We are given r=6m and volume = 542.87m³. We can find the vertical height h=3V/(πr²)=3×542.87/(36π)=14.4m approx.

s=√(h²+r²)=√(14.4²+6²)=√243.36=15.6m approx.

So the slant height is about 15.6m.

[The answer to your previous question, answered yesterday, can be found on:

https://www.mathhomeworkanswers.org/286876/sculpting-spherical-diameter-approximately-weight-nearest]