Question

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

Answer 1

We have

Height of cylinder= 10cm

radius of base= 3.5cm

Total surface area of the article =Curved surface area of the cylinder +2 surface area of a hemisphere

$=2\pi rh+2\left(2\pi r^2\right)$

$=2\pi r(h+2r)$

$=2\times \frac{22}{7}\times 3.5(10+2\times 3.5){cm}^2$

$=374{cm}^2$