Lab Manual: Volume of a Sphere | Lab Manuals for Class 10 PDF Download

Objective

Prerequisite Knowledge
Volume of a cylinder = πr²h

Materials Required
A hollow hemispherical plastic ball, a cylinder with diameter and height both equal to the diameter of hemisphere, sand.

Procedure

• Take a hollow hemisphere and fill it with sand and empty it into the cylinder.fig, (i).
  

• Again fill the hemisphere with sand and empty it into the same cylinder second time. fig. (ii).
  
• Again fill the hemisphere with sand and empty it into the same cylinder third time., fig. (iii).
  

Observation
We observe that the cylinder is completely filled up by pouring sand three times through hemispherical ball.
∴ 3 x Volume of hemisphere = Volume of cylinder with radius r and height 2r
∴ 3 x Volume of hemisphere = πr²(2r) = 2πr³
∴ Volume of a hemisphere = 2πr³/3
∴ Volume of sphere

Result
Volume of a sphere = 4πr³/3 (verified experimentally).

Learning Outcome
Smdents arrive at the formula for the volume of a sphere and they are able to relate it with the volume of a cylinder.
Volume of a sphere = volume of a cylinder.
⇒ 4πr³/3  = πr²h (verified experimentally).

Activity Time
If the radius of the sphere is tripled, then what will be the effect on its volume ? Verify it by an activity.