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Nadya [2.5K]
3 years ago
5

What’s the volume of a cylinder that has a radius of 7 and a height of 16

Mathematics
1 answer:
Marianna [84]3 years ago
8 0

Answer:

V≈2463.01

Step-by-step explanation:

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Which of the following theorems verifies that LMN = ABC
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D. LA

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The diagram shows two right triangles having a corresponding acute angle each which are congruent to each other. Also, the leg in ∆LMN is also congruent to the corresponding leg in ∆ABC.

This satisfy the LA Congruence Theorem. Therefore, both triangles are congruent based on the LA congreunce theorem.

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5. Find the volume of the composite space figure to the nearest whole number. (1 point)
-BARSIC- [3]

Answer:

  (d)  944 mm³

Step-by-step explanation:

The volume of a prism is given by the formula ...

  V = Bh

where B is the area of the base, and h is the distance between bases.

__

<h3>base area</h3>

Here, the base of the prism is a rectangle with a semicircle on top. The circle has a diameter of 9 mm, so a radius of 4.5 mm. The area of the semicircle is ...

  A = 1/2πr² = 1/2π(4.5 mm)² ≈ 31.809 mm²

The area of the rectangle is the product of its length and width.

  A = LW = (9 mm)(6 mm) = 54 mm²

So, the total base area is ...

  31.809 mm² +54 mm² = 85.809 mm²

<h3>prism volume</h3>

The prism volume is this area multiplied by the length of the figure:

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

The volume of the figure is about 944 mm³.

8 0
1 year ago
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