Respuesta :
Explanation at the top answer at the bottom
V=B*h
The height equals to 4
Volume equals to 200
Let's plug it in
2000=B*4
B*4=2000
This means something multiplied times 4 equals 2000
4/2000=500
500*4=2000
B=500 the base of a cylinder is a circle and that base includes our radius
so now we know that the Base of a cylinder is equal to 500
Area of circle = 500
The formula for area of a circle is 3.14*r^2
let's plug everything in
3.14*r^2=500
r^2=496.9
22.23^2=496. Approximately
Radius equals to
R=22.2
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The radius of the cylinder is 12.6 inches.
To calculate the radius of the cylinder, we use the formula below.
Formula:
- v = πr²h............. Equation 1
Where:
- v = volume of the cylinder
- h = height of the cylinder
- r = radius of the cylinder
- π = pie.
make r the subject of the equation
- r = √(v/πh)......... Equation 2
From the question,
Given:
- v = 2000 in³
- h = 4 in
- π = 3.14
Substitute the given values into equation 2
- r = √[2000/(3.14×4)]
- r = 12.62
- r = 12.6 inches
Hence, The radius of the cylinder is 12.6 inches.
Learn more about radius here: https://brainly.com/question/14283575