NCERT Solutions for Class 10 Maths Chapter 13

Important NCERT Questions

Surface areas and Volumes,

NCERT Books for Session 2022-2023

CBSE Board and UP Board Others state Board

EXERCISE 13.1

Page No:245

Questions No:9

# A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, If the height of the cylinder is 10 cm, and its base is of radius 3.5 cm, find the total surface area of the article.

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Radius of hemispherical part = radius of cylindrical part (r) = 3.5 cm

Height of cylindrical part (h) = 10 m

The total surface area of article

= CSA of cylindrical part + CSA of two hemispherical part

= 2πrh + 2 × 2πr²

= 2π × 3.5 × 10 + 2 × 2π × 3.5 ×3.5

= 70π + 49π = 119π

= 119 × (22/7) = 17 × 22 = 374 cm²

Hence, the total surface area of the article is 374 cm²