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2 years ago

An oblique cylinder with a base of radius 2 units is shown. The top

Mathematics

1 answer:

Anuta_ua [19.1K]2 years ago

6 0

The volume of the cylinder is the amount of space on it

The volume of the oblique cylinder is 174.19 cubic units

<h3>How to determine the volume of the cylinder?</h3>

The given parameters are:

AB = 16 units

Radius (r) = 2 units

$\theta = 30^o$

Start by calculating the height (h) using:

$h = 16 * \cos(30^o)$

This gives

$h = 13.86$

The volume of the cylinder is then calculated as:

$V = \pi r^2 h$

This gives

$V = 3.142 * 2^2 * 13.86$

$V = 174.19248$

Approximate

$V = 174.19$

Hence, the volume of the oblique cylinder is 174.19 cubic units

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Given that triangle ABC is dilated by a scale factor of 2, we have;

A'B' = 2 × AB

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Length of AB = √((8-0)^2 + (6-10)^2) = 4•√5

Length of AC = √((4-0)^2 + (2-10)^2) = 4•√5

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By multiplying the given coordinates by the scale factor, we have;

A' = 2 × (0, 10) = (0, 20)

B' = 2 × (8, 6) = (16, 12)

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A'B' = √((16-0)^2 + (12-20)^2) = 8•√5

A'C' = √((8-0)^2 + (4-20)^2) = 8•√5

B'C' = √((16-8)^2 + (12-4)^2) = 8•√2

Therefore when we have;

A'(0, 20), B'(16, 12), C'(8, 4), we get;

A'B' = 2 × AB

A'C' = 2 × AC
B'C' = 2 × BC

The correct option is therefore;

C. A'(0, 20), B'(16, 12), C'(8, 4)

Learn more about finding the distance between points on the coordinate plane here:

brainly.com/question/7243416

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