Question

A wooden article was made by scooping out a hemisphere from each end of a solid cylinder. If the height of the cylinder is $10cm$, and its base is of radius $3.5cm$, find the total surface of the article.

Answer 1

Given:
Height of Cylinder, $h=10cm$
Radius of Cylinder $=$ Radius of Hemispheres $=r$ $=3.5cm$

Surface area of article $=CSA$ of cylindrical part $+2\times CSA$ of hemispherical part

$=2\pi rh+2\times 2\pi r^2$
$=2\pi \times 3.5\times 10+2\times 2\pi \times {3.5}^2$
$=70\pi +49\pi$
$=119\pi =119\times \frac{22}{7}$
$=17\times 22$
$=374c{m}^2$