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3 years ago

Two fuel tanks with the dimensions shown have the same volume. What is the value of h?

Mathematics

1 answer:

Luda [366]3 years ago

7 0

(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

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