Answer:
90[tex]cm^{3}[/tex]
Step-by-step explanation:
Given:
The volume of a cylinder =15[tex]cm^{3}[/tex]
Height of cone = Height of either cylinder
Radius of cone=Radius of either cylinder
Formula:
Volume of a cone =[tex]\pi r^{2}h/3[/tex]
Volume of a cylinder =[tex]\pi r^{2}h[/tex]
To find: Combined volume of both cylinders.
The volume of a cylinder =15[tex]cm^{3}[/tex]
[tex]\pi r^{2}h/3[/tex]=15[tex]cm^{3}[/tex]
[tex]\pi r^{2}h[/tex]=15 * 3[tex]cm^{3}[/tex]
[tex]\pi r^{2}h[/tex]=45[tex]cm^{3}[/tex]
[As
Height of cone = Height of either cylinder
Radius of cone=Radius of either cylinder]
[tex]\pi r^{2}h[/tex]=45[tex]cm^{3}[/tex] is the volume of one cylinder.
Combined volume of cylinder = 2* Volume of cylinder = 2*45 =90[tex]cm^{3}[/tex]
