Question

A log of wood is cylindrical in shape.The radius and height of the log is 1 cm and 6 cm respectively. What area needs to be covered if the log has to be painted completely ?

• A. $48c{m}^2$
• B. $44c{m}^2$
• C. $52c{m}^2$
• D. $54c{m}^2$

Answer 1

The correct option is B

$44c{m}^2$

Given: r = 1 cm ; h = 6 cm

Total Area that needs to be painted = Total Surface Area

Total Surface Area = Curved Surface Area + $2\times BaseArea$

$=2\pi rh+2\pi r^2$

$=2\pi r(h+r)$

$=2\times \frac{22}{7}\times 1(6+1)$

$=\frac{44}{7}\times 1\times 7$

$=44c{m}^2$

Hence the total area that needs to be painted $=44c{m}^2$