The figure is made up of 2 hemispheres and a cylinder. what is the exact volume of this figure? 126π in.³ 378π in.³ 396π in.³ 648π in.³ a 10 inch cylinder with two domes on each end with diameters of 6 inches

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step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

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