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Cloud [144]
3 years ago
9

Cindy has a cylindrical bucket filled with sand; the area of the circular bottom is 10pi inches and the hieght of the bucket is

8 inches. Candy has a nother cylinderal bucket filled with water; the raidus of the circular bottom is 2 inches and the ehight of the bucket is 5 inches. Is there more sand or water? What is the difference?
Mathematics
1 answer:
xz_007 [3.2K]3 years ago
6 0

For the cylindrical bucket filled with sand, the volume of sand in the bucket will be given by the formula:

Volume=Area of the circular bottom x height

We know that the area of the circular bottom is given to be 10\pi in^3 and the height is 8 inches.

Therefore, Volume of Sand=10\pi \times 8=80\pi in^3

Now, for calculating the volume of water, we will employ the formula:

Volume=\pix(radius of the circular bottom)^2xheight

Thus, from the given data, Volume of water is:

\pi\times(2)^2 \times 5=20\pi in^3

As can be clearly seen the volume of sand is more than the volume of water and thus there is more sand than water. The difference in their volumes is (80\pi-20\pi)=60\pi in^3.

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