All Categories MCQs
Topic Notes: All Categories
General Description
Plato
- Biography: Ancient Greek philosopher (427–347 BCE), student of Socrates and teacher of Aristotle, founder of the Academy in Athens.
- Important Ideas:
- Theory of Forms
- Philosopher-King
- Ideal State
311
Find the volume of a cylinder with radius 9 cm and height 16 cm (use pi = 3.142).
Answer:
4071.5
Step-by-step solution: 1. Volume of cylinder = pir²h. 2. Compute: 3.142 * 9² * 16. 3. Volume = 4071.5 cm³.
312
Convert 165° to radians.
Answer:
2.88
Step-by-step solution: 1. Use conversion: radians = degrees * pi / 180. 2. Radians = 165 * pi / 180 = 2.88. 3. Therefore express result rounded to three decimals.
313
Convert 195° to radians.
Answer:
3.403
Step-by-step solution: 1. Use conversion: radians = degrees * pi / 180. 2. Radians = 195 * pi / 180 = 3.403. 3. Therefore express result rounded to three decimals.
314
Convert 75° to radians.
Answer:
1.309
Step-by-step solution: 1. Use conversion: radians = degrees * pi / 180. 2. Radians = 75 * pi / 180 = 1.309. 3. Therefore express result rounded to three decimals.
315
Convert 135° to radians.
Answer:
2.356
Step-by-step solution: 1. Use conversion: radians = degrees * pi / 180. 2. Radians = 135 * pi / 180 = 2.356. 3. Therefore express result rounded to three decimals.
316
Convert 105° to radians.
Answer:
1.833
Step-by-step solution: 1. Use conversion: radians = degrees * pi / 180. 2. Radians = 105 * pi / 180 = 1.833. 3. Therefore express result rounded to three decimals.
317
Convert 45° to radians.
Answer:
0.785
Step-by-step solution: 1. Use conversion: radians = degrees * pi / 180. 2. Radians = 45 * pi / 180 = 0.785. 3. Therefore express result rounded to three decimals.
318
An observer is 56 m from a tower. The angle of elevation to the top is 30°. Find the height of the tower.
Answer:
32.33
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 30° = height / 56. 3. Height = 56 * tan 30° = 32.33 m.
319
An observer is 176 m from a tower. The angle of elevation to the top is 30°. Find the height of the tower.
Answer:
101.61
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 30° = height / 176. 3. Height = 176 * tan 30° = 101.61 m.
320
An observer is 100 m from a tower. The angle of elevation to the top is 45°. Find the height of the tower.
Answer:
100.0
Step-by-step solution: 1. Use tan θ = opposite/adjacent. 2. tan 45° = height / 100. 3. Height = 100 * tan 45° = 100.0 m.