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NAME DATE PERIOD Lesson 2 Homework Practice Volume of Cones Find the volume of each cone. Round to the nearest tenth. 1. 2. 3. 4. 5. 6. 7. 8. 9. height: 26.8 centimeters; radius: 12 centimeters 10.

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  2. Begin by entering your name in the designated NAME field at the top of the form. This personalizes the document and identifies you as the user.
  3. Next, fill in the DATE field with the current date. This helps in tracking the submission timeline of your completed work.
  4. In the PERIOD section, indicate the class period during which you are completing this assignment. This information assists your instructor in organizing submissions.
  5. Proceed to the volume calculations for each cone listed from 1 to 10, using the provided measurements. Round your answers to the nearest tenth as required.
  6. After completing the volume calculations, move on to finding the area of the base for the cones listed in questions 11 and 12 using the given volumes and heights.
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Fill the cones with water and empty out one cone at a time. Each cone fills the cylinder to one-third quantity. Hence, such three cones will fill the cylinder. Thus, the volume of a cone is one-third of the volume of the cylinder.

The cone which has the same base radius and height will have the same base area but its volume is not directly base area times h, which is quite intuitive as cone with same dimensions will have lesser volume. Its volume become 1/3rd of cylinders volume.

The volumes of a cone and a cylinder are related in the same way as the volumes of a pyramid and a prism are related. If the heights of a cone and a cylinder are equal, then the volume of the cylinder is three times as much as the volume of a cone.

The volume formula of a cone is V=13πr2h V = 1 3 π r 2 h V=\frac{1}{3} \pi r^2 h V=31​πr2h. Substitute the given values. We are given the volume and the radius, so we can substitute these into the formula.

This is due to the fact that the volume of a pyramidal object is always 1/3 that of its associated prismatic object (an object on the same base with the same height). So, the volume of a cone is 1/3 of that of its associated cylinder.

Thus, the volume of a cone is equal to one-third of the volume of a cylinder having the same base radius and height.

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© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232
Form Packages
Adoption
Bankruptcy
Contractors
Divorce
Home Sales
Employment
Identity Theft
Incorporation
Landlord Tenant
Living Trust
Name Change
Personal Planning
Small Business
Wills & Estates
Packages A-Z
Form Categories
Affidavits
Bankruptcy
Bill of Sale
Corporate - LLC
Divorce
Employment
Identity Theft
Internet Technology
Landlord Tenant
Living Wills
Name Change
Power of Attorney
Real Estate
Small Estates
Wills
All Forms
Forms A-Z
Form Library
Customer Service
Terms of Service
Privacy Notice
Legal Hub
Content Takedown Policy
Bug Bounty Program
About Us
Help Portal
Legal Resources
Blog
Affiliates
Contact Us
Delete My Account
Site Map
Industries
Forms in Spanish
Localized Forms
State-specific Forms
Forms Kit
Legal Guides
Real Estate Handbook
All Guides
Prepared for You
Notarize
Incorporation services
Our Customers
For Consumers
For Small Business
For Attorneys
Our Sites
US Legal Forms
USLegal
FormsPass
pdfFiller
signNow
airSlate WorkFlow
DocHub
Instapage
Social Media
Call us now toll free:
+1 833 426 79 33
As seen in:
  • USA Today logo picture
  • CBC News logo picture
  • LA Times logo picture
  • The Washington Post logo picture
  • AP logo picture
  • Forbes logo picture
© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232