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natulia [17]
3 years ago
12

A sphere has a volume of 288 pi in^3. Find the surface area, Express your answer in pi.

Mathematics
2 answers:
Tpy6a [65]3 years ago
4 0
Sphere Volume   = <span>  4/3 • <span>π <span>• r³
r^3 = sphere volume / (4/3 * PI)
r^3 = 288*PI / (4/3 * PI)
</span></span></span><span>r^3 = 288 / (4/3)
</span>r^3 = 216
r = 6 inches

Sphere Surface Area     =    <span> 4 • <span>π <span>• r²
</span></span></span>
Sphere Surface Area     =  4 * PI * 36

Sphere Surface Area     =  <span> <span> <span> 452.389 square inches

</span></span></span>
yanalaym [24]3 years ago
4 0

Answer:0.6

Step-by-step explanation:

I just took it ;)

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What is the equation, in slope-intercept form, of the line that is perpendicular to the line
NeTakaya

Answer:

y = -x - 4

Step-by-step explanation:

First find the slope

y - 4 = (x - 6)

y - 4 = x - 6

y = x - 6 + 4

y = x - 2 (y = mx + C)

Slope m = 1

It is said that the line is perpendicular to a point ( -2, -2)

If two lines are perpendicular, their slope will be negative reciprocal

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Using a slope intercept form as requested by the question

y = mx + C

Inserting the values given

(-2, -2)

We are using point slope form

y - y_1 = m ( x - x_1)

x_1 = -2

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But we are requested to give the answer in slope intercept form

y = mx + C

We have to open the bracket

y + 2 = -1(x + 2)

y + 2 = -x - 2

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4 years ago
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<span>We need to calculate noon sun angle. Noon sun angle is an angle at which sun-rays fall at noon on a given date.
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Formula for calculating noon sun angle is:

Noon_sun_angle = 90° - Zenith angle

We have complementary angles so we need to substract zenith angle from 90°.

The zenith angle is the distance between subsolar point (point where sun is at 90°) and the latitude of an observer. In our case this angle will have same value as latitude because subsolar point is at equator 0°. If our latitude and subsolar point are at same hemisphere we substract values. Otherwise we add values.

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4 0
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Ierofanga [76]
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