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Delicious77 [7]
3 years ago
5

two stockpots are similar cylinders. the smaller stockpot has a height of 10 inches and a radius of 2.5 inches. the larger stock

pot has a height of 16 inches. what is the volume of the larger stockpot
Mathematics
1 answer:
IRINA_888 [86]3 years ago
8 0
To find the volume of the larger stockpot, you will need to find the radius using proportional reasoning.

Use the following proportion to solve for the radius of the large stockpot.

<u>height </u>  <u>10 in</u>       <u>16 in</u>
radius   2.5 in       x in.

10x = 2.5 x 16
10x = 40
x = 4 in.

The radius of the larger stockpot is 4 in.

V = pi x r^2 x h
      3.14 x 4^2 x 16
V = 803.84 cubic inches

The volume of the larger stockpot is approximately 803.84 cubic inches.
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