Question

A wooden articles was made by scooping out a hemisphere from each end of a solid cylinder, as shown in figure. 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

REF.Image

Given, height of the cylinder $h=10cm$

Radius of base $r=3.5cm$

Curved surface area of cylinder = $2\pi rh$

Curved surface area of hemisphere $=2\pi r^2$

$\Rightarrow$ Total S.A $=2\pi rh+(2\times 2\pi r^2)$

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

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

$=44\times 0.5\times (10+7)c{m}^2$

$=22\times 17c{m}^2$

$=374c{m}^2$

Hence, the required area is $374c{m}^2$