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UNO [17]
2 years ago
11

The radius of a right circular cone is 2 in. By what factor will the volume change if the radius of the cone is multiplied by 3

and its height remains fixed?
The volume will be multiplied by
. Real Answer?
Mathematics
1 answer:
Vinil7 [7]2 years ago
7 0
The volume of a right
circular cone increased by a
factor of 25. If the height
remained fixed, by what
factor was the radius
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A truck is being filled with cube-shaped packages that have side lengths of 1/4 foot. The part of the truck that is being filled
n200080 [17]

Answer:

24000 pieces.      

Step-by-step explanation:

Given:

Side lengths of cube = \frac{1}{4} \ foot

The part of the truck that is being filled is in the shape of a rectangular prism with dimensions of 8 ft x 6 1/4 ft x 7 1/2 ft.

Question asked:

What is the greatest number of packages that can fit in the truck?

Solution:

First of all we will find volume of cube, then volume of rectangular prism and then simply divide the volume of prism by volume of cube to find the greatest number of packages that can fit in the truck.

Volume\ of\ cube =a^{3}

                          =\frac{1}{4} \times\frac{1}{4}\times \frac{1}{4} =\frac{1}{64} \ cubic \ foot

                                   

Length = 8 foot, Breadth = 6\frac{1}{4} =\frac{25}{4} \ foot, Height =7\frac{1}{2} =\frac{15}{2} \ foot

Volume\ of\ rectangular\ prism =length\times breadth\times height

                                                =8\times\frac{25}{4} \times\frac{15}{2} \\=\frac{3000}{8} =375\ cubic\ foot

The greatest number of packages that can fit in the truck = Volume of prism divided by volume of cube

The greatest number of packages that can fit in the truck = \frac{375}{\frac{1}{64} } =375\times64=24000\ pieces\ of\ cube

Thus, the greatest number of packages that can fit in the truck is 24000 pieces.                                

7 0
3 years ago
Please help me! Screenshot of question is attached. 15 Points and Brainliest to the correct answer.
ehidna [41]

Hello,

I would love to answer but there is no screenshot to see!


7 0
3 years ago
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