Math Problem Solver

Activity 3: Relationship between volume of a Cylinder and volume of a Cone having equal heights and equal base areas.

Aim: To find the relationship between volume of a Cylinder and volume of a Cone having equal heights and equal base areas.

Guidelines for students:

• Prepare a Cylinder and a Cone having same height and base area using thick chart paper/cardboard.

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Calculate the volume of the Cylinder and the Cone using the formulae. • Compare the calculated volumes of the Cylinder and the Cone.

• Verify the relationship by filling the Cone with fine sand/salt to its brim and emptying it in the Cylinder until it is completely filled.

Learning outcomes:

This activity will help the student to

⚫ gain practical experience in making geometric shapes (Cylinder and Cone)

⚫ find out and appreciate the relationship between the volume of

Cylinder and Cone having equal heights and equal base areas leading to a deeper understanding of the concept of volume of Cylinder and Cone.