Jude says that the volume of a square pyramid with base edges of 12 in and a height of 10 in is equal to the volume of a cylinder with a radius of 6.77 in and a height of 10 in. Jude rounded his answers to the nearest whole numbers. Examine Jude's calculations. Is he correct? Volume of Square PyramidVolume of Cylinder
V = one third B(h)V = one thirdπr2h
V = one third(144)(10)V = one thirdπ(6.772)(10)
V = one third(1440)one thirdπ(45.8329)(10)
V = 480 in3V = one thirdπ(458.329)
V ≈ 480 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 cylinder.
Yes, but he made a mistake in solving for the volume of the square pyramid.
No, he made a mistake in solving for the volume of both figures.

No, not correct

Step-by-step explanation:

Square pyramid volume:  (1/3) (base area)(height).  In this case,

V = (1/3)*(12 in)^2*(10 in) = 480 in^3 = 480 in^3

Cylinder volume:  (base area)*(height).  In this case,

V = (3.14)*(6.77 in)^2*(10 in) = 452.12 in^3.

No, Jude is not correct; the 480 in^3 volume of the square pyramid is not the same as the 452.12 in^3 volume of the cylinder.

me

step-by-step explanation:

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺