Aswimming pool is circular with a 40-ft diameter. the depth is constant along east-westlines and increases linearly from 2 ft at the south end to 7 ft at the north end. find the volume of water in the pool.

volume will be equal to 5,655 ft³

Step-by-step explanation:

diameter of swimming pool = 40 ft

depth increases from east-west lines is from 2 ft to 7 ft

so the average depth of the swimming pool can be calculated by

hence average depth comes out to be  4.5 m

volume of water in the pool will be equal to the volume of the pool

volume =

            =

            = 5,654.86 ft³

volume will be equal to 5,655 ft³ approximately

4

step-by-step explanation:

, and

for

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

, and for