CBSE Class 10 Mathematics Question 8 of 35

Surface Areas and Volumes — Question Ex 13.1 Q8

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Ex 13.1 Q8
Question

From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conical cavity of the same height and same diameter is hollowed out. Find the total surface area of the remaining solid to the nearest cm2.

Answer

Ex 13.1 Class 10 Maths NCERT Solutions PDF Q8

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CBSE Class 10 Surface Areas and Volumes — Complete Guide

This chapter carries 5-6 marks covering combination of solids, conversion problems, and frustum of a cone.

Quick Revision: Key Concepts

  • Combination: Add CSAs (subtract hidden faces for TSA), add volumes
  • Conversion: Volume is conserved when solid is melted and recast
  • Frustum: V = ⅓πh(R² + r² + Rr), l = √[h² + (R−r)²]
  • Water flow: Volume = cross-section area × speed × time

Most Important Questions

  1. SA and volume of combined solids (tent, capsule, toy)
  2. Solid melted and recast into smaller solids (find number)
  3. Frustum volume and surface area (bucket problems)
  4. Water flow and pipe problems

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