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oee [108]
3 years ago
6

Your dog, Cujo, has a water bowl, shown below, that is in the same shape of a right circular cylinder with a diameter of 8 inche

s. The bowl is filled with water to a uniform depth of 4 inches. What is the volume of the water in the water bowl, in cubic inches?
A. 12
B. 16
C. 32
D. 64
E. 256

Mathematics
2 answers:
liberstina [14]3 years ago
8 0

Answer:

The answer to your question is the letter D. 64π

Step-by-step explanation:

Data

diameter = 8 in

depth = 4 in

Volume = ?

Formula

Volume of a cylinder = πr²h

Process

1.- Calculate the radius

   radius = 8 /2

   radius = 4 in

2.- Calculate the volume

- Substitution

  Volume = π(4)²(4)

- Simplification and result

  Volume =  π(16)(4)

  Volume = 64π  

Kruka [31]3 years ago
5 0

Answer:The answer is E

Step-by-step explanation:

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A triangle is dilated by a scale factor of 1/5 and then rotated 90 degree clockwise about the origin. Why is the image similar t
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<u><em>Answers:</em></u>
The corresponding angles of the triangles are congruent
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<u><em>Explanation:</em></u>
<u>For shapes to be similar:</u>
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2- angles in first shape should be congruent to angles in second shape

Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes

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This option is incorrect as dilation changes the lengths of the sides

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This option is correct as neither dilation nor rotation alters the measures of the angles

<u>3- </u></span><span><u>The corresponding sides of the image are 5 times as long as those of the pre-image:</u>
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image

<u>4- </u></span><span><u>The image is a reduction of the pre-image:</u>
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<u>5- </u></span><span><u>Neither the dilation nor the rotation change the shape of the triangle:</u>
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<u>6- </u></span><u>The rotation reduces the size of the triangle:</u>
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Hope this helps :)

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