Question

5. A cylindrical boiler 2 m high is 3.5 m in
diameter. It has a hemispherical lid on one
end. Find the interior volume of the boiler.​

Answer 1

Answer:

Heyaa♡♡

Diameter of cylindrical boiler :- 3.5m

So, it's radius :-

$\frac{3.5}{2} \\ = > \frac{35}{20} \\ = > \frac{7}{4} m$

Height (h) :- 2m

Radius of hemisphere :- 7/4 m

Total volume of boiler :-

$\pi \: r {}^{2} h + \frac{2}{3} \pi \: r {}^{3} \\ = > \pi \: r {}^{2} (h + \frac{2}{3} r) \\ = > \frac{22}{7} \times \frac{7}{4} \times \frac{7}{4} (2 + \frac{2}{3} \times \frac{7}{4} ) \\ = > \frac{77}{8} (2 + \frac{7}{6} ) \\ = > \frac{77}{8} \times \frac{19}{6} \\ = > \frac{1463}{48} \\ = > 30.48m {}^{3}$

Hope it helped you.