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Mathematics — CBSE Class 10 board question

Q1. [1]
The curved surface area of a cone having height 24 cm and radius 7 cm, is
  1. A 528 cm²
  2. B 1056 cm²
  3. C 550 cm²
  4. D 500 cm²
Previously asked in CBSE board exam
2023 30/1/1 Q12
Generated by claude-sonnet-4-6 · 2026-06-15 10:35 · grounding rag
Model Answer

Slant height $l = \sqrt{r^2 + h^2} = \sqrt{7^2 + 24^2} = \sqrt{49 + 576} = \sqrt{625} = 25$ cm

CSA of cone $= \pi r l = \dfrac{22}{7} \times 7 \times 25 = 550$ cm²

Answer: C — 550 cm²

Explanation

The key step is finding slant height $l$ using $l = \sqrt{r^2 + h^2}$ before applying the CSA formula $\pi r l$. Students often mistakenly use height instead of slant height — always compute $l$ first. Here $r = 7$, $h = 24$ gives the Pythagorean triple 7-24-25.

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Previous-year CBSE Grade 10 board exam questions, organised by subject and chapter, each with a model answer — free to read and print.