Free Notes for Class 5–12 | CBSE | 24x7 Access
Student School Teacher Help
Home Schools Pricing
Log in Get Started
Class 10 Mathematics Medium Mcq English Medium

A: Fixed cone volume: halving radius quadruples height. R: Cone volume is pr²h/3.

Question
A: Fixed cone volume: halving radius quadruples height. R: Cone volume is pr²h/3.
Both statements are true, but the reason does not explain the assertion.
Both statements are true, and the reason explains the assertion.
The assertion is true, but the reason is false.
The assertion is false, but the reason is true.
Answer
Both statements are true, and the reason explains the assertion.
Detailed Explanation
Both statements are true because quartering r² requires quadrupling height to keep volume fixed. — Examisthan.com
Related Questions
A: Cylinder volume is pr²h. R: At fixed radius, volume varies with height. Mathematics · Surface Areas and Volumes A: A sphere area is 4pr². R: Doubling radius quadruples area. Mathematics · Surface Areas and Volumes A: The volume of a cone is pr²h. R: Equal r and h: cone volume is one-third cylinder volume. Mathematics · Surface Areas and Volumes A: The total surface area of a solid hemisphere is 3pr². R: Its curved area is 2pr². Mathematics · Surface Areas and Volumes

Want the full Mathematics question bank?

Log in for free to unlock practice tests, notes, and an AI tutor for Class 10.

Get started free