Two long strips of paper are each 2 inches wide, and they overlap so that the angle between the strips is 30 degrees. What is th
e number of square inches in the area of the parallelogram formed by the overlap?
1 answer:
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(See attached picture for the diagram of both fuel tanks)
Answer:
2ft
Step-by-step Explanation:
==> Given:
Two cylindrical fuel tanks, one has a radius of 3ft, and height of 8ft, the second tank has a radius of 6ft and unknown height.
Also, volume of 1st tank = volume of 2nd tank
==> Required:
Find h = unknown height of the the 2nd tank.
=>Solution:
To find the height of the 2nd tank = h, we need to know the volume. Thus, volume of first tank = volume of 2nd tank.
Since the dimensions of the 1st tank are all given, let's find its volume.
Thus, volume of 1st tank using the formula V = πr²h (where π = 3.14, r = 3ft, h = 8ft)
V = 3.14*3²*8
= 3.14*9*8 = 226.08 ft³
Volume of first tank = volume of 2nd tank = 226.08 ft³
=> Let's find the height of the 2nd tank with same volume of 226.08ft³
Therefore, V = πr²h (V = 226.08, r = 6ft, h = ?)
226.08 = 3.14*6²*h
226.08 = 3.14*36*h
226.08 = 113.04*h
226.08/113.04 = h
2 = h
Height of the second fuel tank (h) = 2ft
This sequence (1.6, 0.8, 0.4, 0.2,... ) is geometric.
We have formula for any member of geometric sequence:
If a1=1.6 then:
The solution for all these equations is: q=0.5. We have: a1=1.6, q=0.5 and this is geometric sequence.
We have formula for any member of geometric sequence: