Answer: ![114.9\ in.^3](https://tex.z-dn.net/?f=114.9%5C%20in.%5E3)
Step-by-step explanation:
Given
The radius of the hemisphere is ![r=3.8\ in.](https://tex.z-dn.net/?f=r%3D3.8%5C%20in.)
The volume of a hemisphere is given by
![V=\dfrac{2}{3}\pi r^3](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B2%7D%7B3%7D%5Cpi%20r%5E3)
Insert the value
![V=\dfrac{2}{3}\pi \times (3.8)^3\\\\V=114.9\ in.^3](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B2%7D%7B3%7D%5Cpi%20%5Ctimes%20%283.8%29%5E3%5C%5C%5C%5CV%3D114.9%5C%20in.%5E3)
-9.5
I think I might be wrong
Answer:
Mai was moving faster.
As, she covered a greater distance in the same amount of time.
Step-by-step explanation:
Given: Mai traveled 15 meters in 6 seconds and Priya travels 22 meters in 10 second.
Calculate the speed of both;
Speed defined as the rate at which an object covers distance.
![Speed = \frac{Distance}{Time}](https://tex.z-dn.net/?f=Speed%20%3D%20%5Cfrac%7BDistance%7D%7BTime%7D)
Mai traveled 15 meters in 6 seconds
then;
Speed = ![\frac{15}{6} = 2.5 m/s](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B6%7D%20%3D%202.5%20m%2Fs)
Priya travels 22 meters in 10 second.
then;
Speed = ![\frac{22}{10} = 2.2 m/s](https://tex.z-dn.net/?f=%5Cfrac%7B22%7D%7B10%7D%20%3D%202.2%20m%2Fs)
Reason: Mai traveled faster because she covered a greater distance in the same amount of time.
X + 3x + 4x = 56
8x = 56
x = 7
The shortest piece is 7 inches
The middle piece is 7*3 = 21 inches.
The longest piece is 4*7 = 28 inches
Check
7 + 21 + 28 = 56 It does check and the lengths are correct.