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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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Hope This Helps :)

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