<u>Given:</u>
A composite figure consisting of a cylinder with radius r and height h and a half-sphere with a radius r.
<u>To find:</u>
The total volume of the composite figure.
<u>Solution:</u>
To determine the total volume of the figure, we add the volume of the cylinder and the volume of the half-sphere.
The volume of a cylinder, ![V= \pi r^{2} h.](https://tex.z-dn.net/?f=V%3D%20%5Cpi%20r%5E%7B2%7D%20h.)
The given cylinder has a radius of 3.9 units and a height of 4.3 units. Assume π equals 3.14.
The volume of the cylinder,
cubic units.
The volume of a half-sphere, ![V= \frac{2}{3} \pi r^{3} .](https://tex.z-dn.net/?f=V%3D%20%5Cfrac%7B2%7D%7B3%7D%20%5Cpi%20r%5E%7B3%7D%20.)
The given half-sphere has a radius of 3.9 units, assume π equals 3.14.
The volume of the half-sphere,
cubic units.
The total volume of the composite figure
cubic units.
Rounding this off to the nearest hundredth, we get the volume of the cone as 329.54 cubic units.