The volume of a sphere is 5,000pi m3. What is the surface area of the sphere to the nearest square meter?
1 answer:
To get the surface area of the sphere, we need to know the radius. Since the volume is given, we can get the radius.
Volume =
π r³
5000πm³ = π r³
5000m³ = r³
5000m³ x 3 = 4r³
= 
<span>
</span>∛3750 = ∛r³
r = 15.536m
r = 15.54m
Since the radius is now known, substitute it directly to the surface area formula
A = 4π x r²
A = 4π x (15.54)²
A= 3,034.67 m² or 3,035 m²
Volume =
5000πm³ =
5000m³ =
5000m³ x 3 = 4r³
</span>∛3750 = ∛r³
r = 15.536m
r = 15.54m
Since the radius is now known, substitute it directly to the surface area formula
A = 4π x r²
A = 4π x (15.54)²
A= 3,034.67 m² or 3,035 m²
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Explanation:
<em><u>y = mx + b</u></em>
<em><u /></em>
<em>m = slope</em>
<em>b = y-intercept</em>
<em>y = a given y coordinate</em>
<em>x = a corresponding x coordinate</em>
<em />
First, we need to find the slope (m).
1) (4, -1)
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m = slope = =
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plug in the values to the equation <u>y = mx + b</u>
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-1 = -2(4) + b
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now, we can substitute in m and b into the equation y = mx + b
<u><em>y = -2x + 7</em></u>