A potter is designing a large ceramic planter to grow herbs in. He wants to spin it on his potter’s wheel and fire it in his kiln. Before he begins, he needs to determine the dimensions of his pot so that he knows it will have enough volume to hold a bag of potting soil. The potter has drawn a 2-D view of the planter. Assume the base of the pot has a radius of 7 inches in all directions.

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elizabethg9544 elizabethg9544

14-12-2022
Mathematics

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A potter is designing a large ceramic planter to grow herbs in. He wants to spin it on his potter’s wheel and fire it in his kiln. Before he begins, he needs to determine the dimensions of his pot so that he knows it will have enough volume to hold a bag of potting soil. The potter has drawn a 2-D view of the planter. Assume the base of the pot has a radius of 7 inches in all directions.

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tutorconsortium401 tutorconsortium401 · Answer 1 · 2022-12-16T06:53:37+01:00

The volume of the pot is = 731.2 cubic inches.

What is volume?

Each thing in three dimensions takes up some space. The volume of this area is what is being measured.

The space occupied within an object's borders in three dimensions is referred to as its volume.

It is sometimes referred to as the object's capacity.

Finding an object's volume can help us calculate the quantity needed to fill it, such as the volume of water needed to fill a bottle, aquarium, or water tank.

Since the forms of various three-dimensional objects vary, so do their volumes.

According to our answer-

volume of a pot is = πr²h + 2πr³

22/7 * 698/3

731.2 cubic inches

Hence, The volume of the pot is = 731.2 cubic inches.

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