2 years ago

Find the value of x in the parallelogram below

Mathematics

1 answer:

aleksley [76]2 years ago

8 0

68° + x = 180°;

x = 180° - 68° = 112°.

Answer: 112°.

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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.

And the radius can be found with the information we have about the surface area.

The formula for the surface area is as follows:

$SA=4\pi r^2$

from this formula we clear the radius r:

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

and we substitute the known value of the surface area, and also the value of $\pi$ :

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

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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Step-by-step explanation:

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Hope this helps!

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2 years ago

Find the value of x in the parallelogram below​

Find the value of x in the parallelogram below