Given:
Composite figure made of cylinder and two spheres.
To find:
The volume of the composite solid
Solution:
Radius = 2 in
The value of π = 3.14
Volume of sphere:
[tex]$V=\frac{4}{3} \pi r^3[/tex]
[tex]$V=\frac{4}{3} \times 3.14 \times 2^3[/tex]
[tex]$V=\frac{4}{3} \times 3.14 \times 8[/tex]
[tex]V=33.49[/tex]
Volume of a sphere is 33.49 in³
Volume of two spheres = 2 × 33.49 = 66.98 in³
Radius of cylinder = 2 in
Height of cylinder = 8 - 2 - 2 = 4 in
Volume of cylinder:
[tex]$V=\pi r^2 h[/tex]
V = 3.14 × 2² × 4
V = 50.24
Volume of cylinder = 50.24 in³
Volume of composite solid = Volume of two spheres + Volume of cylinder
= 66.98 in³ + 50.24 in³
= 117.2 in³
The volume of the composite solid is 117.2 in³.
