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3 years ago

A sphere has a diameter of 4(x+3) centimeters and a surface area of 784π square centimeters. Find the value of x.

Mathematics

1 answer:

omeli [17]3 years ago

4 0

Answer:

The value of x is $4\ cm$

Step-by-step explanation:

step 1

Find the radius of the sphere

The surface area of the sphere is equal to

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

we have

$SA=784\pi\ cm^{2}$

substitute and solve for r

$784\pi=4\pi r^{2}$

Simplify

$r^{2}=196$

square root both sides

$r=14\ cm$

step 2

Find the diameter

Remember that

The diameter is two times the radius

$D=2(14)=28\ cm$

step 3

Find the value of x

we have

$D=28\ cm$

$D=4(x+3)\ cm$

equate the equations

$4(x+3)=28$

$(x+3)=7$

$x=7-3=4\ cm$

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Passes through the point (0,6) and has a slope of -2/3

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Answer:

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Step-by-step explanation:

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All though while writing the equation of the line in any of these ways is acceptable, the most common way is to write it in slope-intercept form, so let's do it that way.

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Topic: finding the equation of the line

See more: brainly.com/question/27645158

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2 years ago