Question

A wooden article is made by scooping out a hemisphere from both ends of a solid cylinder, as shown in figure. If the height of the cylinder is $10$ cm, and its base is of radius $3.5$ cm, match the column.

Answer 1

A....Volume of cylinder$=\pi r^{2}h=\pi \left(3.5{)}^2\right(10)=122.5\pi c{m}^3$....(3)

B....Volume of scoops$=2\times \frac{2}{3}\pi (3.5{)}^3=\frac{171.5}{3}\pi c{m}^3$...(4)

C....Total surface area of cylinder$=2\pi r(r+h)c{m}^2=2\times 3.142\times 3.5(3.5+10)=297c{m}^2$.........(2)

D....Volume of article = Volume of cylinder - Volume of scoops

$\therefore$ Vol. of article $=122.5\pi -\frac{171.5}{3}\pi =\frac{616}{3}$.........(1)