Surface Areas and Volumes — Question Ex 13.2 Q2
Back to all questionsRachel, an engineering student, was asked to make a model shaped like a cylinder with two cones attached at its two ends by using a thin aluminium sheet. The diameter of the model is 3 cm and its length is 12 cm. If each cone has a height of 2 cm, find the volume of air contained in the model that Rachel made. (Assume the outer and inner dimensions of the model to be nearly the same.)
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
- SA and volume of combined solids (tent, capsule, toy)
- Solid melted and recast into smaller solids (find number)
- Frustum volume and surface area (bucket problems)
- Water flow and pipe problems
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