A solid cylinder has a total surface area of $462$ $\displaystyle cm^{3}$ Its curved surface area is one-third of its total surface area . The volume of the cylinder is :$\displaystyle \left ( \pi =\frac{22}{7} \right )$
-
$792$ $\displaystyle cm^{3}$
-
$539$ $\displaystyle cm^{3}$
-
$495$ $\displaystyle cm^{3}$
-
$676$ $\displaystyle cm^{3}$
B
Correct answer
Explanation
The curved surface area is 462/3 = 154 cm^2. Using the total and curved surface area equations gives radius 7 cm and height 3.5 cm, so the volume is pi x 7^2 x 3.5 = 539 cm^3. The surface-area unit in the question should be cm^2.