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prisoha [69]
3 years ago
7

A food company distributes its tomato soup in two cans of different sizes. For the larger can, the diameter has been increased b

y , and the height remains the same. By what percentage does the volume of the can increase from the smaller can to the larger can
Mathematics
1 answer:
Murrr4er [49]3 years ago
6 0

Answer:

Step-by-step explanation:

buenas tardes .....

solucion

Volumen de un cilindro: es igual al área de la tapa por la altura del mismo

A = πD² * h / 4

Lata grande y lata pequeña

Para la lata grande, el diámetro y la altura han aumentado un 20%.

Lata pequeña:

d = 4 cm

h = 3 cm

A 1 = π * (4) ² * 3/4

A1 = 37,70 cm²

Lata grande:

d = 4 * 1,2 = 4,8 cm

h = 3 * 1,2 = 3,6 cm

A2 = π (4,8) ²3,6 / 4

A2 = 65,14 cm²

Si 37,7 representa el 100%

  65,14 representación x

x = 170%

El incremento del volumen es de un 70%

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Step-by-step explanation:

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can someone help me understand this, please? For some reason my answer is correct but I need to understand how did I found the c
Morgarella [4.7K]

Answer with step-by-step explanation:

The way the question is worded, this actually shouldn't be correct. The correct answer should be 3:4.

Because the trapezoids are similar, we can find the ratio of their perimeters by actually just finding the ratio of their sides.

Why?

By definition, the corresponding sides of a polygon are in a constant proportion. The perimeter is simply the sum of all sides of the polygon. Since we're just adding the sides, the proportion will still be maintained.

Therefore, we'll just need to ratio of their corresponding sides. The only two corresponding sides that are marked are \overline{RS} and \overline{AB}.

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The reason why it ideally should be 3:4 and not 4:3 is because the question states RTSU\sim ABCD, which mentions RSTU first, so our answer should follow this respective order. I believe you were marked right anyways because the specific order is not specified, but generally, you want to give your answer respectively by default.

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