Vcylinder-vcone=vair
vcylinder=hpir^2
vcone=(1/3)hpir^2
vcylinder=16*pi*5^2=400pi
vcone=(1/3)12*pi*4^2=64pi
vylinder-cone=400pi-64pi=336pi
volume is 336pi cubic centimeters or aprox 1055.5 cubic cm
Answer:
The answer is 16.746667
Step-by-step explanation:
1) Simplify 3.14 × 16 to 50.24.

2) Simplify 50.24 ÷ 3 to 16.746667.

<u>Therefor</u><u>. </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>16.746667.</u>
Answer:
(x − 4)² + (y − 3)² = 25
Step-by-step explanation:
The equation of a circle is:
(x − h)² + (y − k)² = r²
Given three points on the circle, we can write three equations:
(1 − h)² + (7 − k)² = r²
(8 − h)² + (6 − k)² = r²
(7 − h)² + (-1 − k)² = r²
Expanding:
1 − 2h + h² + 49 − 14k + k² = r²
64 − 16h + h² + 36 − 12k + k² = r²
49 − 14h + h² + 1 + 2k + k² = r²
Simplifying:
50 − 2h + h² − 14k + k² = r²
100 − 16h + h² − 12k + k² = r²
50 − 14h + h² + 2k + k² = r²
Subtracting the first equation from the second and third equations:
50 − 14h + 2k = 0
-12h + 16k = 0
Solving the system of equations, first reduce:
25 − 7h + k = 0
-3h + 4k = 0
Solve with substitution or elimination. Using substitution, solve for k in the first equation and substitute into the second.
k = 7h − 25
-3h + 4(7h − 25) = 0
-3h + 28h − 100 = 0
25h = 100
h = 4
k = 7h −25
k = 7(4) − 25
k = 3
Now plug these into any of the original three equations to find r.
(1 − h)² + (7 − k)² = r²
(1 − 4)² + (7 − 3)² = r²
9 + 16 = r²
25 = r²
The equation of the circle is:
(x − 4)² + (y − 3)² = 25
Graph: desmos.com/calculator/ctoljeqhnp
Answer:
y=(0.1)x and y=2(1/4)x represent exponential decay
the rest all are an equation used for exponential growth
Answer:
Andrew's residence is higher