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Question

$$25$$ circular plates, each of radius $$10.5\ cm$$ and thickness $$1.6\ cm$$, are placed on above the other form of solid circular cylinder. Find the curved surface area and the volume of the cylindrical so formed.


Solution

25 circular plates
Radius of plate = 10.5 cm
thickness  = 1.6 cm
curved surface Area = (?)
volume of cylinder = (?)
$$ \rightarrow $$ Height of the cylinder $$= no.\, of\, plates \times \,thickness$$
$$ = 25 \times 1.6$$
$$ = 40 cm $$
$$ \rightarrow $$ curved surface Area $$ = 2\pi r.h$$
$$ = 2\pi \times 10.5\times 40$$
$$ = 2,640\,cm^{2}$$
$$ \rightarrow $$ volume of the cylinder $$ = \pi r^{2}.h$$
$$ = \pi \times  (10.5)^{2}\times 40$$
$$ = 13.860 \,cm^{3}$$

1124281_1248172_ans_6b1ce94088ac4cbea1285b9801c232f9.jpg

Mathematics

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