Answer:
125/216 or (5/6)³
Step-by-step explanation:
height of water column=5/6 ×12=10 cm
radius of water level=10/12×6=5 cm
volume of water=π ×5²×10=250 π cm³
volume of cone=π×6²×12=432 π cm³
reqd. ratio=250 π/432 π=125/216=(5/6)³
Answer:
we conclude:
Step-by-step explanation:
Given
To determine
In order to determine f(g(7)), the first step we need to do is to determine g(7)
so substitute x = 7 in g(x) = 2x + 2
so now we have
The next step to do is to substitute x = 16 in f(x) = 4x + 21
so we have
Therefore, we conclude:
Alright, if the width is w and the length is l,
l+33=w
2w+2l=2626.
Substituting w for l+33, we get 2(l+33)+2l=2626 and 2l+66+2l=2626 using the distributive property. Next, we get 4l+66=2626 and subtracting 66 from both sides, we get 4l=2560. Dividing by 4, we get 640=l and since w=33+l , w=673
Let r = radius, h = height and l = slant height
Lateral area = rlpi
But l = sqrt(r^2 + h^2)
Lateral area = r sqrt( r^2 + h^2) pi = 20 pi..................(1)
Total area = r sqrt( r^2 + h^2) pi + r^2 pi = 36pi......(2)
Subtract (1) from (2)
r^2 pi = 16 pi
r^2 = 16
r = 4 cm
Put this value in (1) to find h
4sqrt(4^2 + h^2) pi = 20 pi
sqrt(16 + h^2) = 5
Square both sides
16 + h^2 = 25
h^2 = 9
h = 3 cm
Now that we know h and r we can find the volume
V = 1/3 pi r^2 h
= 1/3 pi (4^2)(3)
<span>= 16 pi cm^3 .........( = 50.27 cm^3)
I hope my answer has come to your help. God bless and have a nice day ahead!
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Step-by-step explanation:
i hope it is the right answer
