Question

100 points☺️

A wooden article was made by scooping out a hemisphere from each end of a solid cylinder. If height of the cylinder is 10cm and it's base radius is 3.5cm,find tsa of the article

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Answer 1

Answer:

374m^2

Step-by-step explanation:

TSA of cylinder + CSA of Hemisphere

= 2 × 22/7 × r (r + h) + 2 × 22/7 × r × r

= 2 × 22/7 × 3.5 (10 + 3.5) +

2 × 22/7 × 3.5 × 3.5

7 and 3.5 will cancel on both sides

You will get,

= 297 +77

= 374 m^2

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Answer 2

$\huge{\texttt{\underline{SOLUTION:}}}$

️️

Surface area of solid = C.S.A of cylinder + 2 × C.S.A of hemisphere

Cylinder's C.S.A :

Radius = 3.5cm

Height = 10cm

C.S.A = $2\pi \: rh$

$= 2 \times \frac{22}{7} \times 3.5 \times 10 \\ 220 \: {cm}^{2}$

Hemisphere's C.S.A :

Radius = 3.5cm

C.S.A = $2 {\pi \: r}^{2}$

$2 \times \frac{22}{7} \times 3.5 \times 3.5}$

$77 \: {cm}^{2}$

Now , C.S.A of 2 hemispheres = 2×77= 154 cm²

Total surface area of solid =

Total surface area of solid =220 + 154 = 374 cm²