Eugene believes that a prism with a square base of 14 centimeters and a height of 9 centimeters will have the same volume as a cylinder with a diameter of 14 centimeters and a height of 9 centimeters. Is Eugene correct? Explain your reasoning.

area of cylinder & prism aren't same,  Eugene is not correct.

Step-by-step explanation:

We have , Eugene believes that a prism with a square base of 14 centimeters and a height of 9 centimeters will have the same volume as a cylinder with a diameter of 14 centimeters and a height of 9 centimeters.

Volume of cylinder =

⇒

⇒

⇒

⇒

Volume of prism = , where B is area of base!

⇒

⇒

⇒

Since, area of cylinder & prism aren't same,  Eugene is not correct.

4+4+2x

or

2x+8

step-by-step explanation:

answer: - (a)

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term=

second term=

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula :

b)   let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

∴there are 88 seats in 12 rows.