PLEASE HELP AND EXPLAIN A cylindrical pan has the dimensions shown below

A formula for the volume of a cylinder is 48x8 . Which equation best represents 9x8 , the area of the base of this pan in square inches?

A 77x32

B 60x14

C 61x12

D 95x30

Step-by-step explanation:

Given

See attachment for question and options

Required

Which best describe the base area of the pan

The base area (B) is calculated using:

Where

So, we have:

Substitute in

(a) is correct

, 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

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11 -1> 1 -1+ a

-12 > a