Answer:
X= O.8 or 10 over 12.5
Step-by-step explanation: Hope this helps darling
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
= 1/3π
= 1/3*3.14*
= 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
Answer:
$69.21
Step-by-step explanation:
Since the box has a square base the length and breadth of the box will be equal. Let it be 
Let h be the height of the box
V = Volume of the box = 

Now surface area of the box with an open top is given

Differentiating with respect to x we get

Equating with zero

Double derivative of the function

So, x at 10.74 is the minimum value of the function.

So, minimum length and breadth of the box is 10.74 cm while the height of the box is 5.37 cm.
The total area of the sides is 
The area of the base is 
Cost of the base is $0.40 per square cm
Cost of the side is $0.10 per square cm
Minimum cost would be

The minimum cost of the box is 69.21 dollars.