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Georgia [21]
3 years ago
9

Find the volume of the composite space figure to the nearest whole number.

Mathematics
1 answer:
Romashka [77]3 years ago
7 0

Answer:

  d.  944 mm^3

Step-by-step explanation:

The area of a circle is given by ...

  A = πr² . . . . . where r is the radius, half the diameter

The area of a circle with diameter 9 mm is ...

  A = π(4.5 mm)² = 20.25π mm²

The area of the semi-circular end of the prism is half this value, or ...

  semicircle area = (1/2)(20.25π mm²) = 10.125π mm² ≈ 31.809 mm²

__

The area of the rectangular portion of the end of the prism is the product of its width and height:

  A = wh = (9 mm)(6 mm) = 54 mm²

Then the base area of the prism is ...

  base area = rectangle area + semicircle area

  = (54 mm²) +(31.809 mm²) = 85.809 mm²

__

This base area multiplied by the 11 mm length of the prism gives its volume:

  V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³

The volume of the composite figure is about 944 mm³.

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Step-by-step explanation:

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Answer: σ: 2.76

Step-by-step explanation:

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Mean, μ: 25

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Steps

look at attached pic for formula

σ^2 = \frac{Σ(xi - μ)^{2} }{N}

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2 years ago
Find The Value Of The Following
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Answer:

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Step-by-step explanation:

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3 years ago
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You go to the mall to make some purchases. You buy 3 dresses which cost $59.99 each and a pair of shoes that cost $75. What is t
mina [271]
Combine costs
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