The answer is 14.50. Hope that helped
The formula for the volume of a cone is V = πr²h
÷3
You are solving for the height, h.
V = 338 cm³ and r = 6 cm
338 = π(6)²h÷3
338 = π36h÷3
338 = π12h
28.16 = πh
8.965 = h
The height of the cone is around 9 cm.
4) In triangle, angle opposite to perpendicular is 90-60 = 30
So, tan Ф = P/B
tan 30 = a / 6
1/√3 = a/6
a = 6/√3
a = 2√3
Now, cosФ = B/H
cos 30 = 6/b
√3/2 = 6/b
b = 6*2/√3
b = 12/√3
b = 4√3
In short, Your Answer would be a = 2√3 and b = 4√3
Hope this helps!