CBSE X Mathematics - Surface Area and Volume - Frustum of a Cone

Sep 18, 2026

Uploaded by Aurora

This educational resource provides a comprehensive overview of the geometric properties of a frustum of a cone, tailored for CBSE Class X Mathematics curriculum. It defines a frustum as the remaining portion of a right circular cone after the vertex is removed by a parallel plane. The document details key mathematical formulas including slant height, volume, and both curved and total surface areas. Practical applications such as calculating the surface area of a bucket-shaped container are also presented to reinforce learning.

LanguageEnglish

CategoryExam

FormatPDF

Pages3

Reading Time8 min

AccessFree to download

Introduction to Frustum of a Cone

Mathematical Definitions and Formulas

Practical Applications

FAQs

What is a frustum of a cone?

A frustum of a cone is the portion of a right circular cone that remains after the top part containing the vertex is cut off by a plane parallel to the base.

How is the height of a frustum defined?

The height of the frustum is defined as the perpendicular distance between the two parallel planes that form its bases.

What formula is used to calculate the area of the metal sheet for a bucket-shaped frustum?

The area is calculated by summing the outer or inner curved surface area and the area of the circular bottom base, expressed as πl(r1 + r2) + πr2^2.

Sep 18, 2026

Uploaded by Aurora