Jude says that the volume of a square pyramid with base edges of 7 in and a height of 7 in is equal to the volume of a cylinder with a radius of 7 in and a height of 7 in. Jude rounded all answers to the nearest whole number. Examine Jude's calculations. Is he correct?

Volume of Square Pyramid Volume of Cylinder
V = B(h) V = r2h
V = 49(7) V = (72)(7)
V = 343 in3 V = 343 in3

Yes, his calculations are correct and the volumes for figures are equal.
No, he made a mistake in solving for the volume of the square pyramid.
Yes, but he made a mistake in solving for the volume of the cylinder.
No, he made a mistake in solving for the volume of both figures.

Jude is not correct , Volume of Square Pyramid ≠ Volume of cylinder

Step-by-step explanation:

volume of a square pyramid with base edges of 9.7 in and a height of 9 in

= 9.7 * 9.7 * 9  inch³

= 846.81 inch³

= 847 inch³

volume of a cylinder with a radius of 5.47 in and a height of 3 in

= π R²H

= 3.14 * 5.47²  * 3

= 281.8 inch³

= 282 inch³

Jude is not correct

Volume of Square Pyramid ≠ Volume of cylinder

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.