If a cone that is 5cm tall is sitting on a cylinder that has a radius of 2 cm and a height of 12 cm, what is the volume?

Mathematics

2 answers:

Strike441 [17]3 years ago

7 0

Your answer is ≈<span>171.74</span>

ICE Princess25 [194]3 years ago

4 0

First we can find the area of the cylinder by finding the area of the circular cross-section and then multiplying that by the height. π × 2^2 = 12.57. 12.57 × 12 = 150.8 = volume of the cylinder. The volume of a cone is (π × r^2 × height)/3. 12.57 × 5 = 62.85, and 62.85 ÷ 3 = 20.95. Finally, you need to add up the two values and get 20.95 + 150.8 = 171.75cm^3. I hope this helps!

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<h3>What a quadrilateral?</h3>

A quadrilateral is simply a polygon with four sides, four angles, and four vertices.

To get the perimeter, we simply add the values of the four side.

Given that;

The vertices are at C (−2, 1), D (2, 4), E (5, 0), and F (1, −3).

To get the dimension between the given coordinates, we use;

d = √((x2 -x1)² +(y2 - y1)²)

For length CD, DE, EF and FC

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EF = √((1 - 5)² + (-3 - 0)²) = √( 16+9) = √25 = 5

FC = √((-2 - 1)² + ( 1 - (-3))²) = √( 9+16) = √25 = 5

Perimeter of the quadrilateral = CD + DE + EF + FC

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Therefore, the perimeter of the quadrilateral with vertices at C (−2, 1), D (2, 4), E (5, 0), and F (1, −3) is 20units.

Option C) is the correct answer.

Learn more about area of rectangle here: brainly.com/question/27612962

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