To solve this problem and calculate the area of the sphere, you must apply the following formulas:
Formula N° 1:
V=4/3(πr³)
V is the volume of the sphere (V=3,000π m³).
r is the radius.
Formula N° 2:
A=4πr²
A is the area of the sphere.
r is the radius.
As you can see, you don't have the value of the radius "r". So, you must rewrite the Formula N° 1, and clear "r":
V=4/3(πr³)
(3,000)(3)=4πr²
r³=9,000/4π
r=(9,000/4π)<span>^1/3
</span> r=13.1037 m
Then, to calculate the area of the sphere, you must substitute the value of "r" into the Formula N° 2:
A=4πr²
A=4π(13.1037)²
A=2,158 m²
<span>What is the surface area of the sphere to the nearest square meter?
</span>
The answer is: 2,158 m²
Answer:
B?
Step-by-step explanation:
2 are colored left to right, and 5 down
2/3 of the chart is taken up
Dear you need to first do the math of each side of the inequality. If the negative number is like -25 and -5, the greater one is -5. The -25 would be least. < means it’s not equal so that an open circle. It’ll look like this, o. If it has the line underneath then it’s equal to the number. It would be a closed circle like this, •. Not sure if that’ll help.
Considering the parabolic equation, the equation for the directrix is given by x = 4.9375.
<h3>What is the equation of a parabola given it’s vertex?</h3>
The equation of a horizontal quadratic function, of vertex (h,k), is given by:
(y - k)^2 = 4p(x - h)
The directrix is given by:
x = h - p.
In this problem, the equation is given by:
(y - 2)² = 0.25(x - 5).
Hence h = 5, p = 0.25/4 = 0.0625, hence the directrix is:
x = h - p = 5 - 0.0625 = 4.9375.
More can be learned about parabolic equations at brainly.com/question/24737967
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