Please solve this question.

Solution :

Given Common diameter of cylinder , hemisphere and cone  =  3.5 cm , So

Radius of cylinder , hemisphere and cone  = 1.75 cm

And
Height of cylinder = 10 cm
And
Height of cone =  6 cm
And
$\pi$ =  3.14
And

Volume of solid  =  Volume of cylinder +  Volume of hemisphere + Volume of cone

We know
Volume of cylinder = $\pi r^{2}h$
And
Volume of hemisphere = $\frac{2\pi r^3}{3}$
And
Volume of cone = $\frac{\pi r^{2}h}{3}$
SO,
Volume of solid  = $3.14 \times {\left(1.75\right)}^2\times 10$ + $\frac{2\times 3.14 \times {\left( 1.75\right)}^3}{3}$ + $\frac{3.14 \times {\left( 1.75\right)}^2 \times 6}{3}$

Volume of solid  = $3.14 \times 3.0625\times 10$ + $\frac{2\times 3.14 \times 5.359375}{3}$ + $\frac{3.14 \times 3.0625 \times 6}{3}$

Volume of solid  =  96.1625 + $\frac{33.656875}{3}$ + 3.14 $\times$ 3.0625 $\times$ 2

Volume of solid  =  96.1625 + 11.2189583 +  19.2325

Volume of solid  = 126.6139583    cm³                                                          ( Ans )