Question

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

Answer 1

144 inches or 4 yards

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,

`(3)/(2)=(216)/(h)`

`3h = 432`

`\implies h = 144`

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

Answer 2

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.