A cone and a hemisphere have …

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

Install Now

A cone and a hemisphere have equal bases and equal volume. Find the ratio of their height

Posted by Dhanush R 1 year, 8 months ago

CBSE > Class 09 > Mathematics

1 answers

Preeti Dabral 1 year, 8 months ago

Let the radius of base of hemisphere and cone, each be r cm. Let the height of the cone be h cm.
Volume of the cone = {tex}{1\over3}\pi r^2{/tex} hcm³
Volume of the hemisphere = {tex}{2\over3}\pi{/tex}r³ cm³
According to the question, {tex}{1\over3}\pi r^2h={2\over3}\pi r^3{/tex}
{tex}\Rightarrow{/tex} h = 2r
{tex}\Rightarrow{/tex} Height of the cone = 2r cm.
Height of the hemisphere = r cm
{tex}\therefore{/tex} Ratio of their heights = 2r : r = 2 : 1

0Thank You

ANSWER

Related Questions

Prove that the sum of all the three interior angles of a triangle is 180 degree

Posted by Savitha Savitha 3 months, 4 weeks ago

CBSE > Class 09 > Mathematics

0 answers

Cost of a pen is two and half times the cost of a pencil. Express the situation as a linear equation in two variables

Posted by Kirshika Ganesh 3 months, 3 weeks ago

CBSE > Class 09 > Mathematics

0 answers

3√2×4√2×12√32

Posted by Manas Khurana 3 months, 4 weeks ago

CBSE > Class 09 > Mathematics

0 answers

The polynomial of the type ax²+bx+c,a=0 is called

Posted by Gnani Yogi 3 months, 4 weeks ago

CBSE > Class 09 > Mathematics

0 answers

X³-12x²+39x-28

Posted by Sukhi Devasi 3 months, 4 weeks ago

CBSE > Class 09 > Mathematics

0 answers

What is 38747484±393884747

Posted by Alvin Thomas 3 months, 3 weeks ago

CBSE > Class 09 > Mathematics

0 answers

Ch-1 introduction

Posted by Sheikh Alfaz 1 month, 1 week ago

CBSE > Class 09 > Mathematics

0 answers

This content has been hidden. One or more users have flagged this content as inappropriate. Once content is flagged, it is hidden from users and is reviewed by myCBSEguide team against our Community Guidelines. If content is found in violation, the user posting this content will be banned for 30 days from using Homework help section. Suspended users will receive error while adding question or answer. Question comments have also been disabled. Read community guidelines at https://mycbseguide.com/community-guidelines.html

Few rules to keep homework help section safe, clean and informative.

Don't post personal information, mobile numbers and other details.
Don't use this platform for chatting, social networking and making friends. This platform is meant only for asking subject specific and study related questions.
Be nice and polite and avoid rude and abusive language. Avoid inappropriate language and attention, vulgar terms and anything sexually suggestive. Avoid harassment and bullying.
Ask specific question which are clear and concise.

Remember the goal of this website is to share knowledge and learn from each other. Ask questions and help others by answering questions.

Posted by T Prudhvi 1 month ago

CBSE > Class 09 > Mathematics