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Home/ Questions/Q 2229
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Gopinath Munde
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Gopinath Munde
Asked: November 5, 20202020-11-05T03:17:40+00:00 2020-11-05T03:17:40+00:00In: Class 8

Find the capacity in litres of a conical vessel with radius 7 cm, slant height 25 cm.

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NCERT Solutions for Class 9 Maths Chapter 13
Important NCERT Questions
Surface Areas and Volumes
NCERT Books for Session 2022-2023
CBSE Board, UP Board and Other state Boards
EXERCISE 13.7
Page No:233
Questions No:2

(i) radius 7 cm, slant height 25 cm

(ii) height 12 cm, slant height 13 cm

2020-2021cbsechapter 13class 9mathematicsncertsurface areas and volumes
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    1. Sadia
      2021-07-30T11:48:08+00:00Added an answer on July 30, 2021 at 11:48 am

      Get Hindi Medium and English Medium NCERT Solution for Class 9 Maths to download.
      Please follow the link to visit website for first and second term exams solutions.
      https://www.tiwariacademy.com/ncert-solutions/class-9/maths/chapter-13/

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    2. Best Answer
      parth joshi
      2023-03-13T06:15:40+00:00Added an answer on March 13, 2023 at 6:15 am

      (I) Radius of conicon vessel r = 7 cm and slant height l = 25 cm.
      Let, the height of conical vessel = h cm
      We know that, l² = r² + h²
      ⇒ 25² = 7² + h²
      ⇒ 625 = 49 + h² ⇒ h² = 625 – 49 = 576
      ⇒ h = √576 = 24 cm
      Capacity of conical vessel = 1/3πr²h
      = 1/3 × 22/7 × 7 × 24 = 1232 cm³ = 1232/1000 = 1.232 litres
      Hence, the capacity of conical vessel is 1.232 litres.

      (II) Height of conical vessel h = 12 cm and slant height l = 13 cm
      Let, the radius of conical vessel = r cm
      We know that, l² = h² + r²
      ⇒ 13² = 12² + r²
      ⇒ 169 = 144 + r²
      ⇒ r² = 169 – 144 = 25 ⇒
      r = √25 = 5 cm
      Capacity of conical vessel = 1/3πr²h
      = 1/3 × 22/7 × 5 × 5 × 12 = 2200/7 cm³
      = 2200/(7×1000) = 11/35 litres
      Hence, the capacity of conical vessel is 11/35 litres.

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