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A can of tuna has a shape similar to the shape of a large water tank. The can of tuna has a diameter of 3 inches and a height of 2 inches . The water tank has a diameter of 6 yardss .what is the height of the water tank in both inches and yards

Verified Answer :

Edufirst

The ratio of the heights of similar cylinders is the same ratio that their diameters.

Then, 6 yards / 3 inches = x yards / 2inches

x = 2 6/3 = 4 yards.

4 yards = 4yards 36 inches/yard = 144 inches

Answer: 4 yards or 144 inches.
 

Answer:

144 inches or 4 yards

Step-by-step explanation:

Since, when two shapes are similar then their corresponding measurements are in same proportion,

Given,

The diameter of can = 3 inches, its height = 2 inches,

Also, the diameter of water tank = 6 yards = 216 inches ( ∵ 1 yard = 36 inches )

Suppose the height of the tank is x inches,

We have given the can and water tank are similar,

By the above statement,

\(\frac{3}{2}=\frac{216}{h}\)

\(3h = 432\)

\(\implies h = 144\)

Hence, the height of the tank is 144 inches or 4 yards.

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