Bhagyasri Singh
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A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius. The total height of the toy is 15.5 cm. Find the total surface area of the toy.

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NCERT Solutions for Class 10 Maths Chapter 13
Important NCERT Questions
Surface ar eas and Volumes,
NCERT Books for Session 2022-2023
CBSE Board and UP Board Others state Board
EXERCISE 13.1
Page No:244
Questions No:3

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3 Answers

  1. Radius of cone = 3.5 cm
    Height of cone = 15.5 – 3.5 = 12 cm
    Radius of hemisphere = 3.5 cm
    Slant height of cone (l)
    = √r² +h² = √((3.5)² + (12)²) = √(12.25 + 144) = √(156.25) = 12.5
    The total surface area of the toy
    = CSA of cone + CSA of hemisphere
    = πrl + 2πr²
    = 22/7 × 3.5 × 12.5 + 2 × 22/7 ×3.5²
    = 137.5 + 77
    = 214.5 cm²
    Hence, the total surface area of the toy is 572 cm²

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  2. Get Hindi Medium and English Medium NCERT Solution for Class 10 Maths to download.
    Please follow the link to visit website for first and second term exams solutions.
    https://www.tiwariacademy.com/ncert-solutions/class-10/maths/chapter-13/

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