Answer:
The capacity of the pot can be calculated by finding the volume of the clay pot. We can use the formula for the volume of a sphere to find the volume of the inside and outside of the pot and subtract the smaller volume from the larger volume to find the volume of the clay.
Explanation:
The formula for the volume of a sphere is:
V = (4/3)πr^3
Where V is the volume and r is the radius.
First, we will calculate the volume of the inside of the pot:
V_inner = (4/3)π(8.2cm)^3 = (4/3)π(530.24cm^3) = 707.68π cm^3
Then, we will calculate the volume of the outside of the pot:
V_outer = (4/3)π(9.1cm)^3 = (4/3)π(710.29cm^3) = 961.12π cm^3
Finally, we will subtract the volume of the inside of the pot from the volume of the outside of the pot to find the volume of the clay:
V_clay = V_outer - V_inner = 961.12π cm^3 - 707.68π cm^3 = 253.44π cm^3
The capacity of the pot is 253.44π cm^3.
Note: The value of pi is 3.14 or approximately 3.14, you can use this value to calculate the capacity of the pot.