Answer:
I need more information, meaning his formula.
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
Fifth root of 243 = 3,
Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),
then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).
Equating equal parts and using de Moivre's theorem:
r^5 =243 and cos 5Ф + i sin 5Ф = cos 240 + i sin 240
r = 3 and 5Ф = 240 +360p so Ф = 48 + 72p
So Ф = 48, 120, 192, 264, 336 for 48 ≤ Ф < 360
So there are 5 distinct solutions given by:
3(cos 48 + i sin 48),
3(cos 120 + i sin 120),
3(cos 192 + i sin 192),
3(cos 264 + i sin 264),
3(cos 336 + i sin 336).. (Answer).
The volume of the cylinder with an hexagonal base is 1793.4 cm³
<h3 /><h3>How to find the volume of a cylinder?</h3>
The volume of a cylinder with a hexagonal base can be found as follows;
volume of the hexagonal cylinder = Bh
where
Therefore,
area of the hexagonal base = 1 / 2 pa
where
- p = perimeter
- a = apothem
Therefore,
Volume = (0.5 × 6.1 × 7 × 6) × 14
Therefore,
volume = 128.1 × 14
volume = 1793.4 cm³
learn more on hexagonal cylinder here: brainly.com/question/12477905
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