The balloon shown is in the shape of a cylinder with hemispherical ends of the same radius as that of the cylinder. The balloon is being inflated at the rate of 261n cubic centimeters per minute. At the instant the radius of the cylinder is 3 centimeters., the volume of the balloon is 144n cubic centimeters and the radius of the cylinder is increasing at the rate of 2 centimeters per minute. (The volume of a cylinder is ar²hand the volume of a sphere is ar'). 3 (a) At this instant, what is the height of the cylinder? (b) At this instant, how fast is the height of the cylinder increasing?
The balloon shown is in the shape of a cylinder with hemispherical ends of the same radius as that of the cylinder. The balloon is being inflated at the rate of 261n cubic centimeters per minute. At the instant the radius of the cylinder is 3 centimeters., the volume of the balloon is 144n cubic centimeters and the radius of the cylinder is increasing at the rate of 2 centimeters per minute. (The volume of a cylinder is ar²hand the volume of a sphere is ar'). 3 (a) At this instant, what is the height of the cylinder? (b) At this instant, how fast is the height of the cylinder increasing?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The balloon shown is in the shape of a cylinder with hemispherical ends of the same
radius as that of the cylinder. The balloon is being inflated at the rate of 261n cubic
centimeters per minute. At the instant the radius of the cylinder is 3 centimeters., the
volume of the balloon is 144n cubic centimeters and the radius of the cylinder is
increasing at the rate of 2 centimeters per minute. (The volume of a cylinder is ar²h and
4
the volume of a sphere is ar').
3
(a) At this instant, what is the height of the cylinder?
(b) At this instant, how fast is the height of the cylinder increasing?
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