9514 1404 393
Answer:
V = (2/3)(11)
Step-by-step explanation:
The given cylinder has a height of 2r, so its volume is ...
V = πr²(2r) = 2πr³
The volume of a sphere is given by ...
V = 4/3πr³
Then the ratio of the volume of the sphere to the volume of the cylinder is ...
(4/3πr³)/(2πr³) = (4/3)/2 = 2/3
So, the volume of the sphere is 2/3 times the volume of the cylinder:
V = (2/3)(11)
Answer:
Step-by-step explanation:
Answer:
y=3/4x-2
Step-by-step explanation:
y=mx+b
the b is the y-intercept so find the y-intercept of the line:
which is -2
the slope you need to find two points and look how many times do you need to rise or run to get the answer: 3/4
Hope this helps!
Answer:
Pat t2 = 40 hrs
Step-by-step explanation:
Given:-
- Fred can paint a house in t1 = 10 hours.
- Pat can paint a house in t2 hours.
- pat and Fred can paint a house in T = 8 hours.
Find:-
Which equation, when solved will produce the number of hours need for pat to paint the house alone
Solution:-
- The number of people working on a particular activity " painting a house " is inversely proportional to time taken to complete the activity. tn = T. The relation for individual time taken ti to complete an activity.
Sum ( 1 / ti ) = 1 / T
Where, ti = The individual time for (ith) person
T = The total time taken to complete the time by i = n number of people.
- For n = 2,
1/t1 + 1/t2 = 1/T
1/10 + 1/t2 = 1/8
1 / t2 = 0.025
t2 = 40 hrs
- It takes Pat t2 = 40 hrs to complete painting the house.
Answer: 38
Step-by-step explanation: 27+11=38
