Question

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

Answer 1

Step-by-step explanation:

Given,

Diameter of cylindrical boiler =3.5 m

So, the radius (r)=3.5/2=35/20=7/4 m

Height (h)=2m

Radius of hemisphere (R)=7/4m

Total volume of the boiler=πr2h+32πr3

=πr2(h+32r)

=722×47×47(2+32×47)

=77/8(2+67)

=877×619=481463

=30.48m^3

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