the volume of the composite figure is [tex]1.308.33 mm^3[/tex] . Correct option D) [tex]1.308.33 mm^3[/tex]
Step-by-step explanation:
Here we have , The figure is made up of a cylinder and a sphere which has been cut in half. The radius of each half sphere is 5 mm. We need to find What is the volume of the composite figure . Let's find out:
We know that Volume of figure is :
⇒ Volume of cylinder + Volume of hemi-sphere
⇒ [tex]\pi r^2h + \frac{2}{3} \pi r^3[/tex]
⇒ [tex]\pi r^2(h + \frac{2}{3}r)[/tex]
Putting values of h= 10 mm , r = 5 mm( Not given in question ! Searched in correct question )
⇒ [tex]\pi (5)^2(10 + \frac{2}{3}(5))[/tex]
⇒ [tex]25(3.14)(10 + \frac{2}{3}(5))[/tex]
⇒ [tex]1.308.33 mm^3[/tex]
Therefore , the volume of the composite figure is [tex]1.308.33 mm^3[/tex] . Correct option D) [tex]1.308.33 mm^3[/tex]
