Question

Find the area of curved surface if area of base of cylindrical tank is $176c{m}^2$ and height is $30$cm.

• A. $1310$ sqcm
• B. $1993.272$ sq cm
• C. $1100$ sq cm
• D. none of the above

Answer 1

Answer: (D)

none of the above

Given that the area of base of cylindrical tank is $176{cm}^2$.

As we know that,

Area of circle $=\pi r^2$

$\therefore \pi r^2=176$

$\Rightarrow r^2=\frac{176}{\left(\frac{22}{7}\right)}$

$\Rightarrow r^2=56$

$\Rightarrow r=\sqrt{56}=7.48cm$

$\therefore$ Curved surface area $=2\pi rh$

Given that $h=30cm$

$\Rightarrow =2\times \frac{22}{7}\times 7.48\times 30$

$\Rightarrow =1410.514{cm}^2$