Answer:
12.02 inches
Step-by-step explanation:
recall, volume of a cylinder is given by
V = πr²h
where r is the radius of the cylinder and h = the height
hence
9080 = π x r² x 20
r² = 9080 ÷ 20π = 144.513
r = √144.513 = 12.02 inches
The Pythagorean theorem is a^2 + b^2 = c^2. You use it when solving for the sides of a triangle.
The equation for this is 23x5=115
9514 1404 393
Answer:
∠Q = 89°
∠R = 123°
∠S = 91°
Step-by-step explanation:
It seems easiest to start by finding the measures of each of the arcs. The measure of an arc is double the measure of the inscribed angle it subtends.
arc QRS = 2·∠P = 114°
So, ...
arc QR = arc QRS - arc RS = 114° -41° = 73°
The total of the arcs around the circle is 360°, so ...
arc PQ = 360° -arc PS -arc QRS
arc PQ = 360° -137° -114° = 109°
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∠Q = (1/2)(arc RS + arc PS) = (1/2)(41° +137°)
∠Q = 89°
__
∠R = (1/2)(arc PS +arc PQ) = (1/2)(137° +109°)
∠R = 123°
__
∠S = (1/2)(arc PQ +arc QR) = (1/2)(109° +73°)
∠S = 91°
