|

General Knowledge

New kid on the Block

 Joined: 13 Jan 2008 Post: 4
8 Mar 2008 13:24:08 IST
0 People liked this
1
507
can any 1 tell me how to derive volume and surface area of a sphere
Engineering Entrance , JEE Main , JEE Advanced

can any 1 tell me how to derive volume and surface area of a sphere

Blazing goIITian

Joined: 8 Oct 2008
Posts: 8064
10 May 2012 12:51:53 IST
0 people liked this

Find the radius of the sphere using the known surface area, then use that value to calculate the volume.

Here is how:
surface area = 4 times pi times the radius squared.

surface area = 4(pi)r^2

90790 = 4 x 3.14 x r^2

Therefore r = The square root of (90790/(4 x 3.14)

Therefore r = 85.02

Now use this value of r to find the volume of the sphere.

volume of a sphere = 4/3 times pi times r cubed

volume = 4/3 x 3.14 x r^3

volume = 4/3 x 3.14 x (85.02)^3

Volume = 2,572,952

Second Part of Question:
Answer: Find the radius of the sphere using the known volume, then use that value to calculate the surface area.

Here's how:
volume of a sphere = 4/3 times pi times r cubed

volume = 4/3 x 3.14 x r^3

1200 = 4/3 x 3.14 x r^3
r = the cubed root of 1200/(4/3 x 3.14)
r = 17.127

Now use this value of r to find the surface area of the sphere.

surface area = 4 times pi times the radius squared.

surface area = 4(pi)r^2

surface area = 4 x 3.14 x (17.127)^2
surface area = 3684.277

 Some HTML allowed. Keep your comments above the belt or risk having them deleted. Signup for a avatar to have your pictures show up by your comment If Members see a thread that violates the Posting Rules, bring it to the attention of the Moderator Team

## For Quick Info

Name

Mobile

E-mail

City

Class

### Find Posts by Topics

Physics

Topics

Mathematics

Chemistry

Biology

Institutes

Parents Corner

Board

Fun Zone

Vertical Limit

Top Contributors
All Time This Month Last Week
1. Bipin Dubey
 Altitude - 16545 m Post - 7958
2. Himanshu
 Altitude - 10925 m Post - 3836
3. Hari Shankar
 Altitude - 9960 m Post - 2185
4. edison
 Altitude - 10815 m Post - 7797
5. Sagar Saxena
 Altitude - 8625 m Post - 8064