The height of the smaller can would need to be 12.8 cm.
First find the volume of the larger can of paint. The volume of a cylinder is given by the formula
V=πr²h
Using the dimensions of the larger can, we have
V = 3.14(8²)(20) = 4019.2
Since he has 1/4 of this can, divide the volume by 4:
4019.2/4 = 1004.8
We will use this as the volume of the smaller can. Substituting this in along with the radius of the smaller can (using the same volume formula), we have:
1004.8 = 3.14(5²)h
1004.8 = 78.5h
Divide both sides by 78.5:
1004.8/78.5 = 78.5h/78.5
12.8 = h
Answer: 15.7 minutes
Step-by-step explanation:
Let x be the time in the beginning (in minutes).
Given: The track team is trying to reduce their time for a relay race.
First they reduce their time by 2.1 minutes.
Then they are able to reduce that time by 10
If their final time is 3.96 minutes, then
x-t1-t2= 3.6
x= 3.6+ t1+ t2
x= 3.6+ 2.1+ 10
x= 15.7
Hence, their beginning time was 15.7 minutes.
Answer: C)27:1
Step-by-step explanation:
Given, Kent has two similar cylindrical pipes, Pipe A and Pipe B. The radius of Pipe A is 6 cm, and the radius of Pipe B is 2 cm.
Volume of cylinder = 
, where r= radius and h = height.
Also, If two figures are similar then ratio of volume is equal to the cube of any dimension .
The ratio of the volume of Pipe A to the volume of Pipe B is given by :-
Thus, the ratio of the volume of Pipe A to the volume of Pipe B = 27:1
So, the correct option is C)27:1.
Answer:
$(x-100)
Step-by-step explanation:
- Phil entered the poker tournament with $100.
- He received a price of $x.
His net winnings from the tournament will be the price minus the entry fee.
Therefore:
Phil's net winnings=$(x-100)
