Answer:
Step-by-step explanation:
If you had a solid cylinder, in order to find the amount of material that makes up that solid cylinder, you would find the volume using the radius of 4 (half of the diameter 8). BUT we want to know the volume of the solid with the radius of 4 minus the solid that has a radius of 2.5 (half of the diameter 5).
That's volume outer - volume inner. To find the outer volume:
so
and
and do the same for the inner volume:
and

Subtract the inner from the outer:

If you need your answer in decimal form, then the volume is
9189.16 cm³
Answer:
x and y = 5√2.
Step-by-step explanation:
This is a 45:45:90 triangle so length of x = length of y.
In this triangle the ratio of the sides is 1:1:√2
Finding length of x and y:
1/√2 = x/10
√2x = 10
x = 10/√2
= 10√2/2
= 5√2.
<u>Answer:</u>
Below!
<u>Step-by-step explanation:</u>
<u>The best way to answer this question is to read the statement carefully.</u>
- => Five less than twice a number = 2x - 5
- => Five times the sum of two numbers = 5(x + y)
- => The difference of 5 and a number, squared = (5 - x)²
Hoped this helped.
