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.
please only answer it in a clear way
I need step by step explanation.
class 10 maths
Answers
heya mate!!
here is ur answer ⬇⬇⬇⬇⬇⬇⬇
Step-by-step explanation:
TSA of article = CSA of cylinder +2(CSA of hemisphere)
so for cylinder,
Radius, r = 3.5 cm
height, h = 10 cm
therefore, CSA of cylinder = 2πrh
=> 2 × 22/7 × 3.5 × 10
=> 2 × 22/7 × 35
=> 220 cm square
Now for hemisphere,
Radius = 3.5 cm ( same as cylinder)
Therefore SA = 2πr × r
=> 2 × 22/7 × 3.5 × 3.5
=> 2 × 22 × 0.5 × 3.5
=> 44 × 0.5 × 3.5
=> 77 cm square
Now, TSA of article = CSA of cylinder +2(CSA of hemisphere
=> 220 + 2(77)
=> 220 + 154
=> 374 cm square
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