What is the volume of the remaining solid

Assignment Help Mathematics

Reference no: EM131082453

Volumes via Calculus - Math 1A, section 103

1. Use an integral to find the volume of a cube of side length 3.

2. Use integrals to derive the formulas for the volume of a sphere and the volume of a cone.

3. A cylindrical hole of radius 7 is drilled straight through a sphere of radius 11 along a diameter. What is the volume of the remaining solid?

4. A dome-shaped (hemispherical) building is 20 feet high and has two floors, each 10 feet high. What is the volume of the region on the second floor (below the ceiling)?

5. An ellipsoid is the volume of revolution formed by revolving an ellipse about its longer axis (like an egg shape). What is the volume of an ellipsoid that has longest radius r and shortest radius s? Hint: The equation of an ellipse with these dimensions is

(x/r)² + (y/5)² = 1.

Reference no: EM131082453

Questions Cloud

Experimental research methods in psychology : Understanding Experiments in Cognition - Summarize the main findings. How do these findings answer the question that the researchers formulated in the introductory section of the article?

Identify a circle and move towards it : identify a circle and move towards it

Implement the eval segment () function described above : Implement the eval Segment () function described above

Is this a good idea does it simplify the code : Is this a good idea? Does it simplify the code?

What is the volume of the remaining solid : Volumes via Calculus. A cylindrical hole of radius 7 is drilled straight through a sphere of radius 11 along a diameter. What is the volume of the remaining solid

How does it change how we classify different looks : How does it change how we classify different looks?

Where are these problems stemming from : Explain the client's problem or symptomology based on a theoretical orientation. Identity examples of how 3 different techniques were used with the client problem/issue/goal.

Where would you put the tasks : Where would you put the tasks? Note that in this scenario, the third assumption about labor market is violated-now, Mexico and U.S. has the same skill-premium.

Explain fundamental principles underlying study of finance : Explain five fundamental principles underlying the study of finance.

User Account

All Pages