Question

Please help. 10 points

Answer 1

1. You must apply the formula for calculate the volume of a cone and and the volume of a cylinder. Then, you must sum both volumes to obtain the volume on the figure attached.
 
 2. Volume of the cone:
 
 Vcone=1/3(πr²h)
 
 π=3.14
 r=4 mm/2
 r=2 mm
 h=3 mm
 
 3. When you substitute the values above into the formula, you obtain:
 
 Vcone=1/3(πr²h)
 Vcone=12.56 mm³
 
 4. The volume of the cylinder is:
 
 Vcylinder=πr²h
 
 π=3.14
 r=4 mm/2=2 mm
 h=2 mm
 
 5. When you substitute the values above into the formula, you obtain:
 
 Vcylinder=25.12 mm³
 
 6. The volume of the figure is:
 
 Vt=Vcone+Vcylinder
 Vt=12.56 mm³+25.12 mm³
 Vt=37.68 mm³