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2 years ago

How do i solve 2i x 3i

Mathematics

2 answers:

Ivahew [28]2 years ago

7 0

Answer:

it's 6

Step-by-step explanation:

2*3 is 6 and I*I is i^2 which equals to 1 so overall 6

nadya68 [22]2 years ago

5 0

Answer:

-6

Step-by-step explanation:

2i* 3i

Multiply the numbers 2*3 = 6

Multiply the imaginary number i*i = i^2

We know that i^2 = -1

6* i^2 = 6*-1 = -6

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A solid metal sphere of radius 9 is melted and transformed into 3 identical spheres. What is the ratio of the surface area of on

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Answer:

$243^{2/3}:324$ or approximately 0.481

Step-by-step explanation:

Volume of a sphere: 4/3πr³

Surface area of a sphere: 4πr²

The initial sphere of radius 9 has a volume of $\displaystyle\\9^3\cdot \frac{4}{3}\cdot \pi=972\pi$

When melted into three identical spheres, each must have a volume of $\displaystyle \frac{972\pi}{3}=324\pi$

The radius of the smaller spheres must be:

$\frac{4}{3}\pi r_s^3=324\pi \implies r_s=\sqrt[3]{243}\approx 6.24$

Surface area of each smaller sphere:

$\displaystyle \\4\pi r^2\vert_{r=6.24}\approx 155.76\pi$

Surface area of initial sphere:

$\displaystyle \\4\pi r^2\vert_{r=9}\approx 324\pi$

The desired ratio is $155.76/324\approx \boxed{0.481}$

Exact: $243^{2/3}:324$

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