2. Asahi also has a sink that is shaped like a half-sphere. The sink has a volume 8000
of *1 in. One day, his sink clogged. He has to use one of two
3
conical cups to scoop the water out of the sink. The sink is completely full
when Asahi begins scooping. Hint: you may need to find the volume for both.
(a) Cup G has a diameter of 4 in, and a height of 8 in. Find the volume of Cup G.
(b) How many cups of water must Asahi scoop out of the sink with Cup G to empty it?
Round the number of scoops to the nearest whole number, and make certain to
show your work.
(c) Cup H has a diameter of 8 in, and a height of 8 in. Find the volume of Cup H.
(d) How many cups of water must he scoop out of the sink with Cup H to empty it?
Round the number of scoops to the nearest whole number, and make certain to
show your work

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

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 ☺

answer: a) 56% women

b)44% men

step-by-step explanation: