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Natasha2012 [34]
3 years ago
7

I NEED HELP ON QUESTION B AND C ASAP.

Mathematics
1 answer:
ipn [44]3 years ago
8 0

Answer:

  • See below

Step-by-step explanation:

<h3>Part B</h3>

Assumed the dimensions of the top and bottom parts are identical.

Since the cylindrical part has total height of 1.8 cm and the hemisphere volume is transferred to bottom part and the cone part is still full, the value of h is the difference of the total height of cylinder and full part of the top section of cylinder:

  • h = 1.8 cm - 0.3 cm = 1.5 cm
<h3>Part C</h3>

Find the volume of sand in the bottom part. It consists of a hemisphere and a cylinder of 1.5 cm height.

  • V(cylinder) = πr²h = 3.14*(2.6/2)²*1.5 ≈ 7.96 cm³
  • V(hemisphere) = 2/3πr³ = 2/3*3.14*(2.6/2)³ ≈ 4.6 cm³

<u>Total sand in the bottom part:</u>

  • 7.96 + 4.6 = 12.56 cm³

<u>Time taken:</u>

  • 12.56 / 0.05 = 251.2 seconds = 4 min 11.2 seconds
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What is the equation of the circle with center (-3,1) that passes through the point (-5, 3)?
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Answer:

Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.

Step-by-step explanation:

The equation of a circle with center (h,k) and radius r is given by:

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Given

Center = (h,k) = (-3,1)

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=> k = 1

The distance between the center of circle and the point through which the circle passes will be the radius.

The distance formula is given by:

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Putting the values in the formula

r = \sqrt{(-5+3)^2+(3-1)^2}\\r = \sqrt{(-2)^2+(2)^2}\\r = \sqrt{4+4}\\r = \sqrt{8}

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Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.

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