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

# 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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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