मराठी

A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in given figure. If the height of the cylinder is 10 cm, and its base is of radius 3.5 cm - Mathematics

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प्रश्न

A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in given figure. 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.

 [Use `pi = 22/7`]

बेरीज
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उत्तर

Given that,

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

Height of cylindrical part (h) = 10 cm

Surface area of article = CSA of cylindrical part + 2 × CSA of hemispherical part

= 2πrh + 2 × 2πr2

= 2π × 3.5 × 10 + 2 × 2π × 3.5 × 3.5

= 70π + 49π

= 119π

= 17 × 22

= 374 cm2

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पाठ 13: Surface Areas and Volumes - Exercise 13.1 [पृष्ठ २४५]

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