The answer is 509 ft^3
Formula:
V = πr^2h
V = 3.14 * 4.5^2 * 8
V = 3.14 * 20.25 * 8
V = 508.68 ft^3
508.68 rounded to the nearest whole number is 509
So the volume of the cylinder is 509 ft^3
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Answer:

Step-by-step explanation:
The formula of the circumference of a circle is
.
The length of an arch can be found by using the ratio of circumference to the arc.
First, find the circumference of the circle:

Then you find the ratio:
The length of the arc is 90/360, which is 1/4, of the circumference.
Finally, find the length of the arc:
or 
I hope this helps :)
Answer:
Give me a heart and 5 stars
Step-by-step explanation:
The answer is 12π.
To get the volume of the cone, we need the height. The radius is given.
V = πr² × (h/3)
The total surface area of the cone is:
SA = πr² + πrl where r is radius and l is slant height
24π = π(3)² + π(3)(l)
24π = 9π + 3πl
24π - 9π = 3πl
15π = 3πl
l = 15π / 3π
l = 5
Using Phytagoras, we can calculate the height of the cone:
l² = h² + r²
5² = h² + 3²
25 - 9 = h²
h = √16
h = 4
Therefore the volume is:
V = π(3)² × (4 / 3)
V = 3π × 4
V = 12π