Find the angle θ between the vectors. u = cos π 4 i + sin π 4 j v = cos π 2 i + sin π 2 j
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Given:
The height of the cylinder = 12 in
The diameter of the base of the cylinder = 8 in.
To find:
The volume of the cylinder.
Solution:
The diameter of the base of the cylinder is 8 in. The radius is half of its diameter. So,
So, the radius of the base of the cylinder is 4 in.
The height of the cylinder, h = 12 in.
Base area of the cylinder is:
Where, B is the base area and r is the radius.
So, the base area is square inches.
The volume of the cylinder is:
Where, r is radius, h is height, B is base area.
Putting and
, we get
So, the volume is cubic inches.
Therefore, .