A tank, shaped like a cone has height 44 meters and base radius 33 meters long. It is placed so that the circular part is upward. It is full of water, and we have to pump it all out by a pipe that is always leveled at the surface of the water. Assume that a cubic meter of water weighs 10000N, i.e. the density of water is  10000N/m3. How much work does it require to pump all water out of the tank? Enter the exact value of your answer.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A tank, shaped like a cone has height 44 meters and base radius 33 meters long. It is placed so that the circular part is upward. It is full of water, and we have to pump it all out by a pipe that is always leveled at the surface of the water. Assume that a cubic meter of water weighs 10000N, i.e. the density of water is  10000N/m3. How much work does it require to pump all water out of the tank? Enter the exact value of your answer.

A window has the shape of a parabola above and a circular arc below. Find the area of the window.
4.19 ft
11.6 ft
11.4 ft
Use the dotted line as your y-axis and the solid gray line as the r-axis.
Find the distance from the 2-axis to the top of the circle.
feet
Write the equation of the circle.
Write the equation of the parabola.
Find the area of the window.
ft?
Transcribed Image Text:A window has the shape of a parabola above and a circular arc below. Find the area of the window. 4.19 ft 11.6 ft 11.4 ft Use the dotted line as your y-axis and the solid gray line as the r-axis. Find the distance from the 2-axis to the top of the circle. feet Write the equation of the circle. Write the equation of the parabola. Find the area of the window. ft?
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