The volume of the composite figure is the third option 385.17 cubic centimeters.
Step-by-step explanation:
Step 1:
The composite figure consists of a cone and a half-sphere on top.
We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.
Step 2:
The volume of a cone is determined by multiplying
with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.
The radius is 4 cm and the height is 15 cm.
The volume of the cone :
cubic cm.
Step 3:
The area of a half-sphere is half of a full sphere.
The volume of a sphere is given by multiplying
with π and the cube of the radius (r³).
Here the radius is 4 cm. We take π as 3.1415.
The volume of a full sphere
cubic cm.
The volume of the half-sphere
cubic cm.
Step 4:
The total volume = The volume of the cone + The volume of the half sphere,
The total volume
cub cm. This is closest to the third option 385.17 cubic centimeters.
Answer:
144? or 126 sorry
Step-by-step explanation:
Step-by-step explanation:
3x + 1 = -14
3x = -14 - 1
3x = -15
x= -15÷3
x= -5
Had -9-x^2
———
x^2
adh (-9-x^2)
——————-
x^2
-9adh-adhx^2
———————
x^2
9adh+adhx^2
- ———————
x^2
Hope this helps
Answer:
x=0
Step-by-step explanation:
If you combine like terms it is x^2 +6x -27=-27
x^2 +6x =0
x^2=0
x=0