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If the lateral surface of a cylinder is 94.2 cm^2 and its height is 5 cm, then find (i) radius of its base (ii) its volume. - Mathematics

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प्रश्न

If the lateral surface of a cylinder is 94.2 cm2 and its height is 5 cm, then find (i) radius of its base (ii) its volume. [Use π = 3.14]

उत्तर

(i) Height (h) of cylinder = 5 cm

Let radius of cylinder be r.

CSA of cylinder = 94.2 cm2

rh = 94.2 cm2

(2 × 3.14 × r × 5) cm = 94.2 cm2

r = 3 cm

 

(ii) Volume of cylinder = πr2h

= (3.14 × (3)2 × 5) cm3

= 141.3 cm3

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अध्याय 13: Surface Area and Volumes - Exercise 13.6 [पृष्ठ २३०]

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एनसीईआरटी Mathematics [English] Class 9
अध्याय 13 Surface Area and Volumes
Exercise 13.6 | Q 4 | पृष्ठ २३०

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