Respuesta :
Answer:
140π=b*12
Don't bother about the stuff below.
Step-by-step explanation:
The formula for the volume of a cylinder is 2πr²h. In this case, we'd put it as:
(Making π=3.14)
2πr²*12=140π
6.28*r²*12=439.6
75.36*r²=439.6
Divide both sides by 75.36
r²≈5.83
The first steps in finding the area of the base of a cylinder with a 2π r of 140π cubic meters and a height of 12 meters are V=B h ⇒ 140π = B (12).
How to find the volume of a cylinder?
The cylinder has circular bases. So, its volume is given as the product of the area of the circular base and the height of the cylinder. I.e.,
V=B h
Where B= π r² sq. units (area of the circle with radius r)
So, we can write it as V=πr²h cubic units.
Calculation:
Given that,
Volume V=140π
Height h=12 meters
Since the volume of a cylinder is V=B h, the calculation starts with V=B h
Then substituting the values into the equation,
V=B h
140π = B (12)
On simplifying,
B=[tex]\frac{140}{12}[/tex] π
=11.66π sq. meters
Therefore, Option D is correct. The first steps we write in finding the area of the base of the cylinder are V=B h ⇒ 140π = B (12).
Learn more about the volume of the cylinder here:
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