Answer:
The height of the second cone is 2 <em>h</em>₁.
Step-by-step explanation:
The volume of a cone is:

The volume of the first cone is, <em>V</em>₁ = 5 in³.
The volume of the second cone is, <em>V</em>₂ = 10 in³.
The two cones have the same base diameters.
This implies that the two radii are same, i.e. <em>r</em>₁ = <em>r</em>₂.
Compute the height of the second cone as follows:





Thus, the height of the second cone is 2 <em>h</em>₁.
Answer:
20%
Step-by-step explanation:
To find the percent increase lets first find the increase.
36-30 = 6
Now divide the increase by the original amount
6/30 = 1/5 = 20%
I can answer these problems
Define unit vectors along the x-axis and the y-axis as

respectively.
Then the vector from P to Q is

In component form, the vector PQ is (-8,5).
The magnitude of vector PQ is
√[(-8)² + 5²] = √(89) = 9.434
Answer:
The vector PQ is (-8, 5) and its magnitude is √89 (or 9.434).