A height of 26 feet and a diameter of 5.6 feet. What is the volume of the geode, rounded to the nearest tenth?
1 answer:
Answer:
Therefore,
The volume of the geode, rounded to the nearest tenth is 640.1 feet³.
Step-by-step explanation:
Given:
Geode shaped approximately like a cylinder. such that
Height = h = 26 feet
Diameter = d = 5.6 feet
To Find:
volume of the geode = ?
Solution:
Geode shaped approximately like a cylinder,
So, Volume of Cylinder is given by,
Where,
Height = h
Radius = r
pi = 3.14
Substituting the values we get
Therefore,
The volume of the geode, rounded to the nearest tenth is 640.1 feet³.
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Answer:
see below
Step-by-step explanation:
We assume you want the graph of ...
A graphing calculator or spreadsheet is useful for this.
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You know cos(θ) = cos(-θ), so the graph is symmetrical about the x-axis. You can evaluate the function at a few points to find the general outline.
r at 0° = 8
r at 30° ≈ 7.05
r at 45° ≈ 6.19
r at 60° ≈ 5.33
r at 90° = 4
r at 120° = 3.2
r at 135° ≈ 2.96
r at 150° ≈ 2.79
r at 180° ≈ 2.67
Answer:
A ≈ 119.7°, b ≈ 25.7, C ≈ 24.3°
Step-by-step explanation:
A suitable app or calculator does this easily. (Since you're asking here, you're obviously not unwilling to use technology to help.)
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Given two sides and the included angle, the Law of Cosines can help you find the third side.
... b² = a² + c² - 2ac·cos(B)
... b² = 38² + 18² -2·38·18·cos(36°) ≈ 661.26475
... b ≈ 25.715
Then the Law of Sines can help you find the other angles. It can work well to find the smaller angle first (the one opposite the shortest side). That way, you can tell if the larger angle is obtuse or acute.
... sin(C)/c = sin(B)/b
... C = arcsin(c/b·sin(B)) ≈ 24.29515°
This angle and angle B add to less than 90°, so the remaining angle is obtuse. (∠A can also be found as 180° - ∠B - ∠C.)
... A = arcsin(a/b·sin(B)) ≈ 119.70485°
