We at **ask-math **believe that educational material should be free for everyone. Please use the content of this website for in-depth understanding of the concepts. Additionally, we have created and posted videos on our youtube.

**We also offer One to One / Group Tutoring sessions / Homework help for Mathematics from Grade 4th to 12th for algebra, geometry, trigonometry, pre-calculus, and calculus for US, UK, Europe, South east Asia and UAE students.**

**Affiliations with Schools & Educational institutions are also welcome.**

Please reach out to us on [email protected] / Whatsapp +919998367796 / Skype id: anitagovilkar.abhijit

We will be happy to post videos as per your requirements also. Do write to us.

In this section we will discuss about Volume of Hemisphere.Hemisphere : Half of a sphere cut by a plane passing through its center, we get hemisphere.

A hemisphere is half of a full sphere and the volume of a hemisphere is equal to two thirds multiplied by pi multiplied by radius to the power 3. So the formula to find the volume-hemisphere is :

Volume-Hemisphere = 2/3 π r^{3} |

1) How many liters of milk can a hemispherical bowl of diameter 10.5 cm hold?

∴ radius = r = 5.25 cm

Volume = 2/3 π r

⇒ v = 2/3 x 3.14 x (5.25)

⇒ V = 302.91= 303 cm

∴ V = 0.303 liter

________________________________________________________________

2) A hemispherical tank is made up of an iron sheet 1 cm thick. If the inner radius is 1 m then find the volume of the iron used to make the tank.

Inner radius (r

Thickness of hemispherical tank = 1 cm = 0.01m

Outer radius (r

Volume of hemisphere = 2/3 π( r

V = 2/3 x 3.14 x ( 1.01

⇒ V = 2/3 x 3.14 (1.030301 – 1)

⇒ V = 2/3 x 3.14 x 0.030301

⇒ V = 0.06343 m

________________________________________________________________

3) A right circular cylinder having diameter 12 cm and height 15 cm is full with ice cream. The ice cream is to be filled in comes of height 12 cm and diameter 6 cm having a hemispherical shape on the top. Find the number of such cones which can be filled with ice cream.

∴ Volume of cylinder = π r

⇒ V = 3.14 x 6

⇒ V = 3.14 x 36 x 15 = 1695.6 cm

Diameter of cone = 6

∴ Radius of cone = radius of hemisphere = 3 cm

∴ volume of cone = 1/3 π r

V = 1/3 x 3.14 x 3 x 3 x 12 = 113.04 cm

And volume of hemisphere = 2/3 π r

V = 2/3 x 3.14 x 3 x 3 x 3 = 56.52 cm

∴ the total volume of cone = volume of cone + volume of hemisphere

⇒ V = 9.42 + 56.52 = 65.94

∴ Number of cones = ( Volume of cylinder ) / Total volume of cone

⇒ Number of cones = 1695.6 / 169.56

∴ Number of cones = 10

• Volume Formulas

• Volume of Irregular Shape

• Volume of Cube

• Volume of Rectangular Prism(Cuboid)

• Volume of Cylinder

• Volume of Cone

• Volume of Sphere

• Volume of Hemisphere

• Volume of Prism

• Volume of Pyramid

From Hemisphere to Home Page

GMAT

GRE

1st Grade

2nd Grade

3rd Grade

4th Grade

5th Grade

6th Grade

7th grade math

8th grade math

9th grade math

10th grade math

11th grade math

12th grade math

Precalculus

Worksheets

Chapter wise Test

MCQ's

Math Dictionary

Graph Dictionary

Multiplicative tables

Math Teasers

NTSE

Chinese Numbers

CBSE Sample Papers