Answer:
V = 1206.3 ![ft^{3}](https://tex.z-dn.net/?f=ft%5E%7B3%7D)
Step-by-step explanation:
This shape is made up of a cylinder on the bottom and a cone on the top. We'll find the volumes of these shapes separately and then add them together.
Volume of a cylinder = area (of the base) x height
Substitute in the formula for the area of a circle.
V(cylinder) = ![\pi](https://tex.z-dn.net/?f=%5Cpi)
x h
Substitute in the values for the radius (8) and height (4)
V(cylinder) =
x
x 4
Evaluate using a calculator
V(cylinder) = 804.2477
To the nearest tenth, V(cylinder) = 804.2
Volume of a cone =
. This is the area of the circular part of the cone (
), multiplied by the height from the point to the base, all divided by 3.
Substitute in the values for the radius of the circle (8) and the height (6)
V(cone) =
(On the top it's
x
x 6)
Evaluate using a calculator
V(cone) = 402.1239
To the nearest tenth, V(cone) = 402.1
Total volume = V(cylinder) + V(cone)
= 804.2 + 402.1
= 1206.3 ![ft^{3}](https://tex.z-dn.net/?f=ft%5E%7B3%7D)
The tank is filling at
the rate of (58-36) in/(5-3 h) = 22/2 = 11 in/h.
72-58 = 14 inches more
to fill
<span>
The remaining 14 inches will be filled in
14 /11 = 1.27 , round to 1.3 hours</span>
so total time
would be 5 +1.3 = 6.3 hours
The is a 50% chance of being a boy or a girl.....previous siblings do not matter. Every child is an independent event. So even if u had 2 siblings that were boys, the result of the next one being a boy is still gonna be 50%...just as the odds of it being a girl, is 50% as well.