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:
76
Step-by-step explanation:because its the answer
Answer:
78,624,000 license plates
Step-by-step explanation:
For each of the 4 numbers, we have the following possibilities:
First number: 10 digits possible
Second number: 9 digits possible (one used)
Third number: 8 digits possible (two used)
Fourth number: 7 digits possible (three used)
For each of the 3 letters, we have the following possibilities:
First letter: 26 digits possible
Second letter: 25 digits possible (one used)
Third letter: 24 digits possible (two used)
The total number of license plates is the product of all these possibilities:
Number of plates = 10 * 9 * 8 * 7 * 26 * 25 * 24 = 78,624,000 license plates
The answer is (-1/2, -3x)
Answer:
A
Step-by-step explanation:
