The volume of the base of the pot is = 1437.33 cubic inches
What is volume?
Each three-dimensional object takes up some space. The volume of this area is being measured.
The volume of an object is the space occupied within its borders in three dimensions.
It is also known as the object's capacity.
What is the formula for the volume of a sphere?
The volume of a sphere is V = 4/3 π r³
Where V is the volume and r is the radius. A sphere's radius is equal to half its diameter.
What is the formula for cylinder volume?
A cylinder's volume is π r² h. Where r is the radius and height is h.
volume of a pot is = πr²h + 2πr³
According to the question, where the radius of the sphere is r = 7 inches
The volume of the base of the pot = volume of a sphere
[tex]volume of base of the pot = \frac{4}{3} \pi r^{3}\\= \frac{4}{3}\frac{22}{7} 7^{3} \\= \frac{4}{3}\frac{22}{7}343 \\=\frac{4312}{3}\\=1437.33 cubic inches[/tex]
Hence, The volume of the base of the pot is = 1437.33 cubic inches.
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