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
Hey there!
The answers are as follows:
7.)
m∠1 = 85
m∠2 = 95
m∠3 = 85
m∠4 = 85
8.)
m∠1 = 60
m∠2 = 120
m∠3 = 60
m∠4 = 120
9.)
they all equal 90
10.) No. Parallel lines do not cross each other, but these, if extended, would cross. You could use a protractor by measuring corresponding angles, and if they aren't equal, they aren't parallel.
Have a terrifcly amazing day!
Answer:
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