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Elza [17]
3 years ago
12

The ratio of the heights of two similar cylinders is 1:3. If the volume of the smaller cylinder is 67cm cubed, find the volume o

f the larger cylinder.
Mathematics
1 answer:
irina1246 [14]3 years ago
5 0

Answer:

volume = 1809 cm³

Step-by-step explanation:

The ratio of the height of two similar cylinder is 1:3 . The volume of the smaller cylinder is 67 cm³. The volume of the larger cylinder can be computed below:

If 2 object are similar and the ratio of the corresponding sides is x ,then the ratio of their volume is x³.

ratio of height = 1/3

ratio of volume = (1/3)³ = 1/27

volume of smaller cylinder/volume of larger cylinder = 1/27 = 67/x

where

x = volume of the larger cylinder

x = 27 × 67

x = 1809  cm³

volume = 1809 cm³

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Which conversion factors are used to multiply to 18cm/ s to get meters per minute?
Nimfa-mama [501]

Remark

The short answer is you multiply 0.6 times the cm/s to get m/min.

Solve

Though you didn't ask for it, here's the way it is done. Notice that each set of brackets cancels the units of a set of brackets to the left of the set of brackets you are observing. This is called unit analysis. The answer is given below.

\frac{18 cm}{sec} *[\frac{60 cm}{1 min}] * [\frac{1 m}{100 cm}] = 18*0.6\frac{m}{min}=10.8\frac{m}{min}

8 0
3 years ago
Cómo puedo hallar la longitud de un lado de un triángulo usando el teorema del ángulo de 30°
Elza [17]

En un triángulo rectángulo con ángulos de 30° -60° -90°, para encontrar la longitud de un lado, debes encontrar la longitud de la hipotenusa.

<h3 /><h3>¿Cómo encontrar la longitud de la hipotenusa?</h3>

Es necesario encontrar la longitud del cateto opuesto al ángulo de 30°, también conocido como cateto menor, y luego multiplicarlo por 2, descubriendo así el cateto de la hipotenusa, utilizando la fórmula del teorema de Pitágoras:

  • a²+b²=c²

Por lo tanto, puedes usar el teorema de Pitágoras para calcular la longitud del lado que falta en un triángulo rectángulo.

Encuentre más sobre el Teorema de Pitágoras aquí:

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5 0
1 year ago
Which situation represents a proportional relationship?
JulijaS [17]

Answer:

renting a movie for 2 dollars a day

Step-by-step explanation:

the y does not repeat

5 0
1 year ago
How many degrees does the hour<br>hand turn to get from 12.00 to 12:20?​
iVinArrow [24]

Answer:

10°

Step-by-step explanation:

20°

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120°/12 = 10°

3 0
3 years ago
Read 2 more answers
Is to be constructed for use on padre island beaches. it is to have a back, two square sides, and a top. if 96 square feet of ca
ss7ja [257]
Area of the canvas: 96 = 2 · W² + 2 · W L,
where W is the width and L is the length of a back and a top side. Two square sides have area W².
2 W L = 96 - 2 W² /:2
W L = 48 - W²
L = ( 48 - W² ) / W.
The inside volume of the shelter:
V = L · W · W = L · W²
V = W² · ( 48 - W² ) / W ;
V = 48 W - W³
We have to find the derivative:
V ` = 48 - 3 W²
48 - 3 W² = 0 ( for V max. )
3 W² = 48
W² = 48 : 3
W² = 16;  W = √16;  W = 4 ft.
L = ( 48 - 16 ) / 4 = 32 / 4 = 8 ft.
Answer: The length of the shelter for which the volume inside is maximized is  8 ft.
8 0
3 years ago
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