Answer:
31.43 oz
Step-by-step explanation:
12.40 + 8.03 + 11 = 31.43
A
Volume of the Cylinder
Givens
H = 60 yards.
Diameter = 20 yards
pi = 3.14
Formula
V = pi * r^2 * h
Calculations
r = d/2
r = 32/2
r = 16
V = 3.14 * 16^2 * 60
V = 48230 cubic yards [Cylinder's Volume]
Cone
<em>Formula</em>
V = 1/3 pi r^2 H
<em>Givens</em>
pi = 3.14
r = 16 yards
h = 20 yards
<em>Sub and solve</em>
V = 1/3 3.14 * 16^2 * 20
V = 5359 cubic yards.
<em>Total Volume of the structure</em>
48230 + 5359 = 53589 Cubic Yards
<em>Water Content</em>
The answer to this part requires a proportion.
1 Cubic yard will hold 201.97 gallons.
53589 yd^3 = x
1/201.97 = 53589 /x [ You should get a pretty big answer]
x = 201.87 * 53589
x = 10 819 092 gallons can be held by the tank.
10 819 092 gallons <<<< answer
B
If the height of both the cylinder and the cone remain the same. If the radius doubles in both the cylinder and the cone then the tank will hold 4 times as much.
Total volume before doubling the radius = pi * r^2 h + 1/3 pi r^2 h
New Total Volume = pi * (2*r)^2 h + 1/3 pi * (2r)^2 h
New Total volume = pi * 4r^2 h + 1/3 pi *4 r^2 h
New Total Volume = 4 [pi r^2 h + 1/3 pi r^2 h]
but pi r^2 h + 1/3 pi r^2 h is the total volume before doubling the radius
New volume = 4 original volume. <<<<< answer to part B
For the answer to the question above asking w<span>hat is the conditional probability that exactly two of the children will be allergic to peanuts, given that at least one of the three children suffers from this allergy?
The answer to the question above is 0.0012. I hope this helps</span>
Step-by-step explanation:
step 1. ABCD is an isosceles trapezoid because AD and BC are parallel, AB and CD are congruent
step 2. x = 56° (definition of an isosceles trapezoid)
step 3. x + y + z + 56 = 360 (definition of a quadrilateral)
step 4. y = z (definition of an isosceles trapezoid)
step 5. 56 + 2y + 56 = 360
step 6. 2y = 248
step 7. y = 124°, z = 124°.
