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bonufazy [111]
3 years ago
10

A farmer has a water tank for cows in the shape of a cylinder with a radius of 7 ft and a height of 3 ft. The tank comes equippe

d with a sensor to alert the farmer to fill it up when the water falls to 20% capacity. What would the volume of the tank be when the sensor turns on?
Mathematics
1 answer:
natima [27]3 years ago
5 0

Answer:

volume of the tank be when the sensor turns on = 92.316 ft³

Step-by-step explanation:

Volume of a cylinder = πr²h

Pi = π = 3.14

Radius = r = 7 ft

Height = h = 3 ft

Volume of a cylinder = πr²h

= 3.14 × 7² × 3

= 3.14 × 49 × 3

= 461.58 ft³

The tank comes equipped with a sensor to alert the farmer to fill it up when the water falls to 20% capacity.

volume of the tank be when the sensor turns on = 20% of Volume of a cylinder

= 0.20 * 461.58 ft³

= 92.316 ft³

volume of the tank be when the sensor turns on = 92.316 ft³

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Answer:

3.25 days

Step-by-step explanation:

Irri is traveling in a group of 8 cat warriors. Each cat needs 4 liters of milk per day to maintain good morale.

The total number of liters for the cat is calculated as:

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Another cat has enough milk to last for 2days.

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This is calculated as:

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3 years ago
In spherical geometry, all points are points on the surface of a sphere. A line is a circle on the sphere whose diameter is equa
mamaluj [8]

Answer: It is not possible that two triangles that are similar and not congruent in spherical geometry.

Step-by-step explanation:

For instance, taking a circle on the sphere whose diameter is equal to the diameter of the sphere and inside is an equilateral triangle, because the sphere is perfect, if we draw a circle (longitudinal or latitudinal lines) to form a circle encompassing an equally shaped triangle at different points of the sphere will definately yield equal size.

in other words, triangles formed in a sphere must be congruent and also similar meaning having the same shape and must definately have the same size.

Therefore, it is not possible for two triangles in a sphere that are similar but not congruent.

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8 0
3 years ago
Shawna reduced the size of a rectangle to a height of 2 in. What is the new width if it was originally 24 in wide and 12 in tall
miskamm [114]

Answer:

4 inches.

Step-by-step explanation:

The height of a rectangle is reduced by Shawna to a size of 2 inches.

The original width of the rectangle was 24 inches and the height was 12 inches.

If the ratio of width to height remains the same, then we can find the new width.

If the new width is x inches then, we can write

\frac{x}{2} = \frac{24}{12}

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7 0
2 years ago
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The patio at the back of the house is to be extended into the backyard in a semi-circle. What will be the area of the yard
tresset_1 [31]

Answer:

A = 413 sq feet

Step-by-step explanation:

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So, the required area is equal to 413 sq feet.

5 0
2 years ago
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