Given:
A figure of combination of hemisphere, cylinder and cone.
Radius of hemisphere, cylinder and cone = 6 units.
Height of cylinder = 12 units
Slant height of cone = 10 units.
To find:
The volume of the given figure.
Solution:
Volume of hemisphere is:

Where, r is the radius of the hemisphere.



Volume of cylinder is:

Where, r is the radius of the cylinder and h is the height of the cylinder.



We know that,
 [Pythagoras theorem]
                               [Pythagoras theorem]
Where, l is length, r is the radius and h is the height of the cone.
 
 
 
 

 
 
Volume of cone is:

Where, r is the radius of the cone and h is the height of the cone.



Now, the volume of the combined figure is:



Therefore, the volume of the given figure is 2110.08 cubic units.
 
        
             
        
        
        
Answer:
f(x)= - l x - (-4) l + 0
Step-by-step explanation:
 
        
             
        
        
        
The equation of the line is y=2/3x + 0
Explanation: The y intercept (where the line crosses the y axis) is 0, and the slope is 2/3 (up two and 3 to the right)
        
             
        
        
        
  It takes 15 minutes for Ms. Peter to drive from park to her home 
Given :
 from her home to the park at an average speed of 30 miles per hour and
returned home along the same route at an average speed of 40 miles per hour
 it takes 20 minutes to travel 
Convert 20 minutes in to hour (divide by 60)
20 minutes = 1/3 hour 
We know that distance = speed x time
  From home to park, distance  =
So , distance between home  and park is 10 miles
Now we calculate the time taken to return from park to home

Time taken is 1/4 hours. Convert it into minutes by multiplying by 60

So it takes 15 minutes for Ms. Peter to drive from park to her home 
Learn more : brainly.com/question/18839247