Question

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

the pyramid? Round your answer to the nearest tenth. Explain how you
found your answer and show your work. Write your answer in the space
provided and explain your answer in relation to the problem.

Answer 1

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

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.

Hope it will find you well