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).

$V_o-V_i$ That's volume outer - volume inner. To find the outer volume:

$V=\pi r^2h$ so

$V_o=\pi (4^2)(300)$ and

$V_o=4800\pi$ and do the same for the inner volume:

$V_i=\pi (2.5^2)(300)$ and

$V_i=1875\pi$

Subtract the inner from the outer:

$4800\pi-1875\pi=2925\pi cm^3$

If you need your answer in decimal form, then the volume is

9189.16 cm³

4 0

3 years ago

I want the answer to this problem<br> 3(x+2)-x=38

maks197457 [2]

Answer:

x = 16

Step-by-step explanation:

3(x+2)-x=38

Distribute

3x+6 -x = 38

Combine like terms

2x+6 = 38

Subtract 6 from each side

2x+6-6 = 38-6

2x = 32

Divide each side by 2

2x/2 = 32/2

x = 16

5 0

3 years ago

Read 2 more answers

Xp+yp=z solve for the variable p

anastassius [24]

Use the distributive property backwards.
xp+yp=z become p(x+y)=x, which solves to p=x/(x+y)

3 0

3 years ago

A cheetah ran 300 feet in 2.92 seconds. What was the cheetah’s average speed in miles per hour? Show your work.

Alchen [17]

You would divide the cheetahs distance which is 300 feet by the cheetahs time which is 2.92 seconds
distance÷time
300÷2.92= 102.7 seconds or 103 seconds if you round up
the cheetahs speed is 102.7 seconds or 103 seconds

5 0

3 years ago