Question

a solid is in the shape of a cone standing on a hemisphere with both their radii being equal to help 1cm and the height of the cone is equal to its radius. Find the volume in terms of pie.

Answer 1

Answer:

We have

Radius of the cone =r  

1

​  

=1cm

Height of the cone =h  

1

​  

=1cm

Radius of the hemisphere =r  

2

​  

=1cm

Volume of the solid = volume of the cone +volume of the hemisphere

 

= $1/3\pi r^2 h + 2/3\pi r^3$

= $\pi cm^3$

__________________________

peace!

Answer 2

Total Volume of solid = Volume of cone + Volume of hemisphere

Radius of cone = 1 cm

Height of cone = 1 cm

Volume of cone = $\frac{1}{3}\pi r^{2}h$

                          $= \frac{1}{3}.\pi .1^{2} .1\\\\ = \frac{1}{3} \pi$

Volume of hemisphere = $\frac{2}{3}\pi r^{3}$

                                     $= \frac{2}{3}\pi$

Total volume $=\frac{1}{3}\pi +\frac{2}{3}\pi \\\\= \frac{3}{3}\pi \\\\= \pi cm^{3}$