Respuesta :

Answer:

[tex]69.08\ in^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the figure is equal to the volume of the cone plus the volume of the cylinder

Find the volume of the cone

The volume of the cone is equal to

[tex]V=\frac{1}{3}\pi r^{2}h[/tex]

we have

[tex]r=2/2=1\ in[/tex]

[tex]h=3\ in[/tex]

substitute

[tex]V=\frac{1}{3}\pi (1^{2})(3)=\pi\ in^{3}[/tex]

Find the volume of the cylinder

The volume of the cylinder is equal to

[tex]V=\pi r^{2}h[/tex]

we have

[tex]r=2/2=1\ in[/tex]

[tex]h=21\ in[/tex]

substitute

[tex]V=\pi (1^{2})(21)=21\pi\ in^{3}[/tex]

Find the area of the figure

[tex]V=\pi\ in^{3}+21\pi\ in^{3}=22\pi\ in^{3}[/tex]

[tex]V=22\pi=22*3.14=69.08\ in^{3}[/tex]

Answer:

D

Step-by-step explanation:

ACCESS MORE
EDU ACCESS