हिंदी

A hemi-spherical bowl (as shown) has external radius R and internal radius r, the outer surface area of the bowl is ______.

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प्रश्न

A hemi-spherical bowl (as shown) has external radius R and internal radius r, the outer surface area of the bowl is ______.

The image displays a hollow hemisphere (hemispherical shell or bowl resting on a flat surface) with an inner radius $r$, outer radius $R$, and a shaded rim representing the cross-section of the shell wall.

विकल्प

  • 2πR2 + πr2

  • 3πR2 − πr2

  • 2πR2 + 2πr2

  • 2πR2 − πr2

MCQ
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उत्तर

A hemi-spherical bowl (as shown) has external radius R and internal radius r, the outer surface area of the bowl is 3πR2 − πr2.

Explanation:

Outer surface area of the hemi-spherical bowl = Surface area of outer hemisphere + Area of outer cross-section - Area of inner cross-section

= 2πR2 + πR2 − πr2

= 3πR2 − πr2

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अध्याय 20: Cylinder, Cone and Sphere - EXERCISE 20 (C) [पृष्ठ ३१३]

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सेलिना Concise Mathematics [English] Class 10 ICSE
अध्याय 20 Cylinder, Cone and Sphere
EXERCISE 20 (C) | Q 1. (b) | पृष्ठ ३१३
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