Question

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

Answer 1

Answer:

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

Step-by-step explanation:

Given the information of the cone:

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

=> the volume of the cone

= 1/3π$r^{2} *h$

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

= 314 cubic inches

Given the information of the pyramid:

• 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

The proportion of the volume of the cone to the volume of the pyramid is:

= 314 /100

= 3.14 times bigger.

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