Question

The lateral surface area of cylinder is $176{cm}^2$ and base area 38.5${cm}^2$. The volume is ..............

• A. $830{cm}^3$
• B. $380{cm}^3$
• C. $308{cm}^3$
• D. $803{cm}^3$

Answer 1

The correct option is C $308{cm}^3$

Given, curved surface area $=176$ ${cm}^2$ and and base area $38.5$ ${cm}^2$.
$\Rightarrow \pi r^2=38.5\Rightarrow r^2=38.5\times \frac{7}{22}=12.25\Rightarrow r=3.5$ m
Again, curved surface area $=176$ ${cm}^2$
$\Rightarrow 2\pi rh=176\Rightarrow 2\times \frac{22}{7}\times 3.5\times h=176\Rightarrow h=8$
Therefore, volume $=$ $\pi r^{2}h=\frac{22}{7}\times {3.5}^2\times 8=308c{m}^3$