1. Write [3(cos 30° + i sin 30°)]^4 in the standard form a + bi.

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1. Write [3(cos 30° + i sin 30°)]^4 in the standard form a + bi.

Cbecause they are equal so that means it is the same on both sides? ! hope this

[tex]Ineed this answered as quickly as you[/tex]

Here's link to the

tinylnk.cf/rW5p

answer: the answer is (b) amie should have multiplied

[tex]54~\textup{m}^3~\textup{by}~\dfrac{4}{3}\pi.[/tex]

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

[tex]v_s=\pi r^2h=\pi r^3,[/tex]

and the volume of the cylinder will be

[tex]v_c=\dfrac{4}{3}\pi r^3=54~\textup{m}^3.[/tex]

therefore, we have

[tex]v_c=\dfrac{4}{3}v_s=\dfrac{4}{3}\times 54=72~\textup{m}^3.[/tex]

thus, ammie should have multiplied the volume of the sphere [tex]54~\textup{m}^3~\textup{by}~\dfrac{4}{3}\pi.[/tex]