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Anestetic [448]
3 years ago
5

Compare the two figures. How many times bigger or smaller is the cone to

Mathematics
1 answer:
Gemiola [76]3 years ago
3 0

Answer:

The proportion of the volume of the cone to the volume of the pyramid is: 3.14 times bigger.

Step-by-step explanation:

<u>Given the information of the cone: </u>

  • The height: 12 inches
  • The radius of the base is : 10/2= 5 inches

=> the volume of the cone

= 1/3πr^{2} *h

= 1/3*3.14*5^{2} *12

= 314 cubic inches

<u>Given the information of the pyramid: </u>

  • the height: 12 inches
  • The base is a suqare with a side lengh = 5 inches  

=> the volume of the pyramid:

= 1/3*Bh            (where B is the area of the base)

= 1/3*5*5*12

= 100 cubic inches

<u>The proportion of the volume of the cone to the volume of the pyramid is: </u>

= 314 /100

= 3.14 times bigger.

Hope it will find you well

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Answer:

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Step-by-step explanation:

The ratio of side dimensions for a 30°-60°-90° triangle are 1 : √3 : 2. If we call the horizontal dimension of the triangle its base, then its height (vertical dimension) will be √3×4 in. Of course the area of the triangle is ...

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_____

<em>Comment on problem dimensions</em>

The area involved here is not much larger than the size of your hand. It would make more sense for the dimensions to be in feet or yards or meters, rather than inches.

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the sum of two numbers is 186. the difference between the same numbers is 32. what are the two numbers
evablogger [386]
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