Q. 15

# A cone, a hemisph

Volume of a hemisphere = (2/3)πr3

Volume of a right circular cone = (1/3)πr2h

Volume of a cylinder = πr2h

Given, a cone, a hemisphere and a cylinder stand on equal bases and have the same height.

Height of a hemisphere is the radius and equal bases implies equal base radius.

Thus, height of cone = height of cylinder = base radius = r

Ratio of volumes = (1/3)πr2h : (2/3)πr3 : πr2h

Ratio of volumes = r3 : 2r3 : 3r3 = 1 : 2 : 3

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Eliminating India's Poverty48 mins
Democracy - A Quick Insight55 mins
Poverty in India51 mins
Solving most Important Questions43 mins
People As Resources53 mins
Work and Types of Work done40 mins
Elections- Mechanism and Types48 mins
Kinetic and Potential Energy39 mins
Constitution - Formation and Objective63 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

A spherical ball RS Aggarwal & V Aggarwal - Mathematics

A sphere and a cuRD Sharma - Mathematics

If a solid sphereRD Sharma - Mathematics

The ratio betweenRD Sharma - Mathematics

If the surface arRD Sharma - Mathematics

<span lang="EN-USRS Aggarwal & V Aggarwal - Mathematics