Answer:
It honestly does not matter, but I'd choose the ring because I feel like it is more pleasant to look at.
Step-by-step explanation:
We need to find the area of both shapes to compare:
3/4 of a circle:
A = 6^2pi
= 36pi
36pi(0.75) = 27pi
Ring:
A = 36pi
A2 = 3^2pi = 9pi
36pi-9pi = 27pi
As you can see, the two areas are the same.
Hope this helped! :)
Answer: 56 times.
Step-by-step explanation:
394/7 = 56.3
56 * 7 = 392
392 + 7 = 399
399 is more than 394, therefore the answer is 56.
The formula of combination is

We have

and


Hence, there are 1001 ways of arranging 10 records from 14 records
Answer:
The volume of the toy is 
Step-by-step explanation:
step 1
Find the volume of the hemisphere
The volume of the hemisphere is given by the formula

In this problem, the wide of the toy is equal to the diameter of the hemisphere
so

----> the radius is half the diameter
substitute

step 2
Find the volume of the cone
The volume of the cone is given by

we know that
The radius of the cone is the same that the radius of the hemisphere
so

The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy

substitute the given values

step 3
Find the volume of the toy
we know that
The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.
so


assume

