Water is leaking out of an inverted conical tank at a rate of 6900 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 8 meters and the diameter at the top is 3 meters. If the water level is rising at a rate of 23 centimeters per minute when the height of the water is 3 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute. Round to the nearest whole number.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 45AR
icon
Related questions
Question
Water is leaking out of an inverted conical tank at a rate of 6900 cubic centimeters per min at the same time that
water is being pumped into the tank at a constant rate. The tank has height 8 meters and the diameter at the top is 3
meters. If the water level is rising at a rate of 23 centimeters per minute when the height of the water is 3 meters,
find the rate at which water is being pumped into the tank in cubic centimeters per minute. Round to the nearest
whole number.
cm
22.86
Preview
Transcribed Image Text:Water is leaking out of an inverted conical tank at a rate of 6900 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 8 meters and the diameter at the top is 3 meters. If the water level is rising at a rate of 23 centimeters per minute when the height of the water is 3 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute. Round to the nearest whole number. cm 22.86 Preview
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Differential Equation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,