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