Write the complex number in the form a + bi.
3(cos 60° + i sin 60°)

Answer Choices
square root three divided by six plus square root of three divided by six times i

square root three divided by two plus three times square root three divided by two times i

three divided by two plus three square root three divided by two times i

square root of three + i

+ i

Step-by-step explanation:

Using the exact value

cos60° = and sin60° = , then

3(cos60° + isin60°)

= 3( + i) ← distribute by 3

= + i ← in the form a + bi

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

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

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere