Please help! (100 points)

Answer the following questions and show all of your calculations:

(a) What is the exact volume of a cylinder with a height of 10 inches and a radius of 4 inches

V= tt r^2 h

V= r^2 h tt

V= r x r x h tt

(b) What is the approximate volume of a cylinder with a height of 10 inches and a radius of 4 inches?
(hint: plug in your answer from above and multiply by 3.14)

V= _ x 3.14

A.)  V = 160π

B.)  V = 502.4 inches^3

Step-by-step explanation:

Part A:

Formula for the volume of a cylinder:  V = π * r^2 * h

r^2 can be broken into r * r

π can be represent by 3.14

It is the same as:  V = r * r * h * 3.14

V = 4 * 4 * 10 * π

V = 160π

 V = 160π

Part B:  

Step 1:  Plug in

V = 4 * 4 * 10 * 3.14

V = 16 * 31.4

V = 502.4 inches^3

 V = 502.4 inches^3

a) 160pi in³

b) 502.4 in³

Step-by-step explanation:

a) 4 × 4 × 10 × pi = 160 pi in³

b) 4 × 4 × 10 × 3.14

= 502.4 in³

3

step-by-step explanation:

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.