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2 years ago

Answer, please. I need help.

Mathematics

2 answers:

kumpel [21]2 years ago

4 0

Answer:

2i, if you don't understand any of the steps let me know, I'd be happy to explain.

Step-by-step explanation:

$\sqrt{-x} =\sqrt{-1*x} ,\sqrt{xy}=\sqrt{x} \sqrt{y}, \sqrt{-1}=i$

so in order -4 = -1 * 4 so then $\sqrt{-1*4}=\sqrt{-1} \sqrt{4}$ then just solve each

qaws [65]2 years ago

4 0

Answer:

undefined

Step-by-step explanation:

because you can be negative in square root.

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A sphere is inscribed in a cube with a surface area of 216 square centimeters. What is the volume of the sphere

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Answer:

$V=298.5cm^3$

Step-by-step explanation:

To find the volume of the sphere we need to know its radius.

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$SA=4\pi r^2$

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$r^2=\frac{SA}{4\pi}\\ \\r=\sqrt{\frac{SA}{4\pi} }$

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$r=\sqrt{\frac{216cm^2}{4(3.1416)} }\\ \\r=\sqrt{\frac{216cm^2}{12.5664} }\\ \\r=\sqrt{17.1887cm^2}\\ \\r=4.146cm$

and now that we know the radius we find the volume:

$V=\frac{4\pi r^3}{3} \\\\V=\frac{4(3.1416)(4.146cm)^3}{3}\\ \\V=\frac{895.521cm^3}{3}\\ \\V=298.5cm^3$

the volume of the sphere is $298.5cm^3$

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