Explanation -:
In this question we are provided with the height and radius. We are asked to calculate the volume of a composite solid
First we will find the volume of a cone
We know,
[tex] \orange{\star \: \small\boxed{ \sf{ Volume_{(cone)} = \dfrac{1}{3}πr²h}}}[/tex]
Where,
- r stand for radius
- h stand for height
- Assuming π as 3.14
Substituting the values we get
[tex] \small\bf Volume_{(cone)} = \dfrac{1}{3} \times 3.14×4 × 4×5[/tex]
[tex] \rightarrow \small\rm{ Volume_{(cone)} = \dfrac{1}{3}×251.2}[/tex]
[tex] \small\sf{ Volume_{(cone)} = 83.73 \:cubic \: units }[/tex]
Now we will calculate the volume of a hemisphere
We know,
[tex] \red{\star \: \small \boxed{\sf{ Volume_{(hemisphere)} = \dfrac{2}{3}πr³}}}[/tex]
Substituting the values we get
[tex] \small\bf{ Volume_{(hemisphere)} = \dfrac{2}{3} \times 3.14 × 4 × 4 × 4}[/tex]
[tex] \rightarrow\small\rm{ Volume_{(hemisphere)} = \dfrac{2}{3} \times 200.96}[/tex]
[tex] \rightarrow\small\rm{Volume_{(hemisphere)} = 2 \times 66.98} [/tex]
[tex] \small\sf{ Volume_{(hemisphere)} =133.97}[/tex]
Now we will calculate the volume
Volume = 83.73 + 133.97 = 217.70 cubic units
