Answer:
radius r = 47/π in
length l = 23.5 in
Step-by-step explanation:
Let us recall that:
Volume of a cylinder =
--- (1)
The girth g =
----- (2)
Given that:
height (h) + girth (g) = 141
Then g = 141 - h ----- (3)
Equating equation (2) and (3), we have:
141 - h = 2πr + h
2h = 141 - 2πr
h = 70.5 - πr ------ (4)
From, here now, we can now replace the value of h into equation (1)
i.e.
V = πr²(70.5 - πr)
V = 70.5πr² - π²r³
Taking the differential of the above equation with respect to r, we have:

By further differentiation:

Let set
, Then:
141πr - 3π²r² = 0
141πr = 3π²r²
Divide both sides by πr
141 = 3πr
r = 141/3π
r = 47/π in
Replacing the value of r = 47/π into equation (4), we have:
h = 70.5 - πr
h = 70.5 - π(47/π)
h = 70.5 - 47
h = 23.5 in
From equation (3);
h + g = 141
23.5 + g = 141
g = 141 - 23.5
g = 117.5 in
Volume = πr²h
V = π × (47/π )² × 23.5
V = 16523.94 in³
Answer:
1. C 2.B .
Step-by-step explanation:
answer : 1. A+ 5/4 +19/4 ,,,,, 2. 14/4 = 7/2
Hope it helps :)
A=bh
A/h bh/h
A/h=b
The answer s b= a/h
Answer:
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<em>A</em><em> </em><em>and</em><em> </em><em>D</em>
1 - 5
2 - 7
3 - 9
4-11
5-13
6-15
7- 17
8 - 19
9 - 21
10 - 23