Answer:
890 cubic cm is the exact volume of the figure
Step-by-step explanation:
Volume of the hemisphere(V) is given by:
[tex]V = \frac{2}{3} \pi r^3[/tex]
Volume of the cylinder(V') is given by:
[tex]V' = \pi r^2h[/tex]
where, r is the radius and h is the height
As per the statement:
The figure is made up of a hemisphere and a cylinder.
In hemisphere:
radius(r) = 5 cm
then;
[tex]V = \frac{2}{3} \pi 5^3 =\frac{2}{3} \pi \cdot 125[/tex]
Use [tex]\pi = 3.14[/tex]
[tex]V = \frac{2}{3} \cdot 3.14 \cdot 125 \approx 261.7 cm^3[/tex]
In Cylinder:
radius(r) = 5 cm and height(h) = 8 cm
then;
[tex]V' = \pi 5^2 \cdot 8[/tex]
⇒[tex]V' = 3.14 \cdot 25 \cdot 8 = 628 cm^3[/tex]
We have to find the exact volume of the figure
Total volume of the figure = V+V'
= 261.7+628 = 889.7 cubic cm
Therefore, 890 cubic cm is the exact volume of the figure
