Question

A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, if the height of the the cylinder 10cm and radius 3.5 cm , find the total surface area .

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Answer 1

Answer:

TSA of cylinder is 2πr(r+h).......here h= 10cm and r= 3.5 cm....now put value on this formula you get answer........

Answer 2

Answer:

$\huge\bf\underline{\underline{QUESTION}}$

Q.A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, if the height of the the cylinder 10cm and radius 3.5 cm , find the total surface area

$\huge\bf\underline{\underline{Solution}}$

Height of cylinder= 10cm

Height of cylinder= 10cmradius of base= 3.5cm

Total surface area of the article =

Curved surface area of the cylinder +2 surface area of a hemisphere

$= 2\pi\: rh \: + 2(2\pi \: {r}^{2} ) \\ 2\pi \: r \: (h + 2r) \\ 2 \times \frac{22}{7} \times 3.5(10 + 2 \times 3.5) \\ = 2 \times \frac{22}{7} \times 3.5(10 + 7) \\ = 2 \times \frac{22}{7} \times \frac{35}{10} (17) \\ = 2 \times \frac{\cancel22}{\cancel7} \times \frac{ \cancel35}{\cancel10} (17) \\ 2 \times 11(17) = 374 {cm}^{2}$

∴374cm² is the total surface area of article

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