Answer:
(A) 125 scoops
(B) 31 scoops
Step-by-step explanation:
The volume of a cup in terms of radius and height is ...
V = (1/3)πr²h
The radius is half the diameter, so the volume in terms of diameter is ...
V = (1/3)π(d/2)²h = (π/12)d²h
The number of cups it takes to empty the sink will be the sink volume divided by the cup volume, so will be ...
n = (4000π/3)/((π/12)d²h)
n = 16000/(d²h)
__
(A) The number of cups required of diameter 4 and height 8 is ...
n = 16000/(4²·8) = 125
125 scoops are required to empty the sink
__
(B) The number of cups required of diameter 8 and height 8 is ...
n = 16000/(8²·8) = 31.25 ≈ 31
31 scoops are required to empty the sink
k = 1.33 or 1 1/3
Formula of Direct variation. Where y is equal to the product of the constant of variation times x.
y = kx
16 = k * 12
k = 16/12
k = 1 4/12 = 1 1/3
Constant of variation is 1 1/3 or 1.33.
Answer:
(m-(1/3))(m^2+(1/3)m+(1/9)
Step-by-step explanation:
Just use the difference of cubes
Answer:
its the first one or the last one
Step-by-step explanation:
i got the same thing on the graph sry
