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Question

Find the volume, curved surface area and total surface area of a cylinder whose dimensions are, radius of the base $$=7\ cm$$ and height $$=50\ cm$$

Solution
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We know that volume of the cylinder $$=\pi r^2h$$
Here $$r=7\ cm\ h=50\ cm$$
So,
$$V=22/7\times 7\times 7\times 50$$
$$V=22\times 7\times 50$$
$$V=7700\ cm^3$$

Also we know that curved surface area of cylinder $$=2\pi rh$$
So,
Curved surface area $$=2\times 22/7 \times 7\times 50$$
Curved surface area $$=2200\ cm^2$$

We know that total surface area of cylinder $$=2\pi (r+h)$$
So,
Total surface area $$=2\times 22/7 \times 7(7+50)$$
Total surface area $$=2580\ cm^2$$

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