Question

From a right circular cylinder of radius 6 cm and height 11 cm one hemisphere of the same radius is removed then the volume of the remaining part is

• A. 792 $c{m}^3$
• B. 892 $c{m}^3$
• C. 992 $c{m}^3$
• D. none of these

Answer 1

The correct option is A 792 $c{m}^3$

Given the radius of right circular cylinder is 6 cm and height is 11 cm

Then volume of right circular cylinder =$\pi (6{)}^2\times 11=396\pi$

If cut one hemisphere of same radius 6 cm

Then volume of hemisphere=$\frac{2}{3}\pi (6{)}^3=\frac{2\pi }{3}\times 216=144\pi c{m}^3$

Then volume of remaining part=$396\pi -144\pi =252\pi =\frac{22}{7}\times 252=792c{m}^3$