Volume of a Hemi-Sphere calculator

We use cookies to improve your experience on our site and to show you relevant advertising. By browsing this website, you agree to our use of cookies. Learn more

AtoZmath.com

College Algebra

Matrix & Vector

Numerical Methods

Statistical Methods

Operation Research

VOLUME -

Volume of a Hemi-Sphere

Formula :
Curved Surface Area `(CSA) = 2 pi r^2`
Total Surface Area `(TSA) = 3 pi r^2`
Volume `(V) = 2/3 pi r^3`
diameter `(d) = 2r`

6. I know that for a Hemi-Sphere = . From this find out of the Hemi-Sphere.

`pi = `

Decimal Place =

SolutionExampleVolume FormulaAll Problems

Problem : 1 / 6 [ Cuboid ] Enter your problem 1. I know that for a cuboid Length = 3 , Breadth = 4 , and Height = 5 . From this find out Volume of the cuboid.


Solution:	`"Here, we have " l = 3, b=4, h=5" (Given)"` `"Diagonal"^2 = l^2 + b^2 + h^2` `"Diagonal"^2 = 3^2 + 4^2 + 5^2` `"Diagonal"^2 = 50` `Diagonal = 7.0711` `"Here, we have " l = 3, b=4, h=5" (Given)"` `"Volume" = l * b * h` ` = 3 * 4 * 5` ` = 60` `"Here, we have " l = 3, b=4, h=5" (Given)"` `"Total Surface Area" = 2 (lb + bh + lh)` ` = 2 * (3 * 4 + 4 * 5 + 3 * 5)` ` = 2 * (47)` ` = 94` `"Here, we have " l = 3, b=4, h=5" (Given)"` `"Curved Surface Area" = 2h (l + b)` ` = 2 * 5 (3 + 4)` ` = 70`

Problem : 2 / 6 [ Cube ] Enter your problem 2. I know that for a cube Length = 3 . From this find out Volume of the cube.


Solution:	`"Here, we have " l = 3` `"Diagonal" = sqrt(3) l` ` = sqrt(3) * 3` ` = 5.1962` `"Here, we have " l = 3` `"Volume" = l^3` ` = 3^3` ` = 27` `"Here, we have " l = 3` `"Total Surface Area" = 6 l^2` ` = 6 * 3^2` ` = 6 * 9` ` = 54` `"Here, we have " l = 3` `"Curved Surface Area" = 4 l^2` ` = 4 * 3^2` ` = 4 * 9` ` = 36`

Problem : 3 / 6 [ Cylinder ] Enter your problem 3. I know that for a cylinder Radius = 3 and Height = 10 . From this find out Curved Surface Area of the cylinder.


Solution:	`"Here, we have Radius "(r) = 3" and Height "(h) = 10" (Given)"` `"Volume" = pi r^2 h` ` = pi * 3^2 * 10` ` = 282.7433` `"Total Surface Area" = 2 pi r (r+h)` ` = 2 * pi * 3 * (3 + 10)` ` = 245.0442` `"Curved Surface Area" = 2 pi r h` ` = 2 * pi * 3 * 10` ` = 188.4956`

Problem : 4 / 6 [ Cone ] Enter your problem 4. I know that for a cone Radius = 3 and Slant Height = 5 . From this find out Volume of the cone.


Solution:	`"Here, we have Radius "(r) = 3" and Slant Height " (l) = 5" (Given)"` `l^2 = r^2 + h^2` `h^2 = l^2 - r^2` `h^2 = 5^2 - 3^2` `h^2 = 16` `h = 4` `"Volume" = (pi r^2 h)/3` ` = (pi * 3^2 * 4)/3` ` = 37.6991` `"Total Surface Area" = pi r (l + r)` ` = pi * 3 (5 + 3)` ` = 75.3982` `"Curved Surface Area" = pi r l` ` = pi * 3 * 5` ` = 47.1239`

Problem : 5 / 6 [ Sphere ] Enter your problem 5. I know that for a sphere Radius = 3 . From this find out Volume of the sphere.


Solution:	`"Here, we have Radius"(r) = 3" (Given)"` `"Volume" = 4/3 pi r^3` ` = 4/3 * pi * 3^3` ` = 84.823` `"Total Surface Area" = 4 pi r^2` ` = 4 * pi * 3^2` ` = 113.0973` `"Curved Surface Area" = 4 pi r^2` ` = 4 * pi * 3^2` ` = 113.0973`

Problem : 6 / 6 [ Hemi-Sphere ] Enter your problem 6. I know that for a Hemi-Sphere Radius = 3 . From this find out Volume of the Hemi-Sphere.


Solution:	`"Here, we have Radius " (r) = 3" (Given)"` `"Volume" = 2/3 pi r^3` ` = 2/3 * pi * 3^3` ` = 56.5487` `"Total Surface Area" = 3 pi r^2` ` = 3 * pi * 3^2` ` = 84.823` `"Curved Surface Area" = 2 pi r^2` ` = 2 * pi * 3^2` ` = 56.5487`

Share this solution or page with your friends.

College Algebra

Copyright © 2023. All rights reserved. Terms, Privacy