A spherical balloon is inflated with gas at the rate of 300 cubic centimeters per minute. How fast is the radius of the balloon
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Answer:
The radius of the cylinder is 4 cm.
Step-by-step explanation:
Given:
radius of cone = 6 cm
height of the cone = 8 cm
height of cylinder = 6 cm
We need to find the radius of cylinder.
Solution:
First we will find the volume of cone.
Volume of cone is one third time square of radius times height times π.
framing in equation form we get;
Volume of cone =
Now Volume of cylinder is given by square of radius times height times π.
framing in equation form we get;
Volume of cylinder =
Now it has been given that;
Volume of cone is equal to Volume of cylinder.
so we can say that
Dividing both side by 18.84 we get;
Taking square root on both side we get;
Hence the radius of the cylinder is 4 cm.