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:
Hope this helps :)
Step-by-step explanation:
8(x - 2) = 2x + 8
y+9 = -2(y + 1)
value of x in 8(x - 2) = 2x + 8
x=4
substitue
y+9=−2(y+1)
value of y y+9=−2(y+1)
y= - 11/3 or 3.66...
x=4
y=4 (I rounded 3.66)
Answer:
C. (5, 3)
Step-by-step explanation:
this point is within the answer area... look below at the graph of both linear inequalities