Answer:
34191.7πin³/sec
Step-by-step explanation:
Volume of circular come = 1/3pi x r² x h
When we differentiate this formula we have
dv/dt = 1/3π[r²dh/dt + 2rhdr/dt]
We have the following information
r = 138
H = 143 inch
dr/dt = 1.4
dh/dt = -2.8
When we plug into the formula
1/3π[130² x -2.8 + 2x138x143x1.4]
= 34191.7πin³/sec
Answer:23
Step-by-step explanation:
1 bottle is $2.98. Just do $5.96 divide by 2 to get the answer
V=LWH
W=2
120=V
120=L2H
divide by 2
60=LH
SA
2 pairs of same sides
1 bottom
SA=2(LH+WH)+LW
we know that W=2 so
SA=2(LH+2H)+2L
exanded
SA=2LH+4H+2L
we need to solve for 1 variable to eliminate it
60=LH
divide both sides by L
60/L=H
sub 60/L for H
SA=2L(60/L)+4(60/L)+2L
SA=2(60)+(240/L)+2L
SA=120+(240/L)+2L
SA=184
184=120+(240/L)+2L
multiply both sides by L
184L=120L+240+2L²
minus 184L both sides
0=2L²-64L+240
factor
0=2(L²-32L+120)
use quadratic formula
L=16-2√34 or 16+2√34
the dimentions are (aprox)
Legnth=4.3381, Width=2, Height=13.831 or
Legnth=27.6619, Width=2, Height=2.1691
which means 12 is the perpendicular & 37 is the hypotenuse [ Since Sin θ =
] . We're asked to find out tan θ ].
. Just plug the values :