Answer:
To know if Nicholas is correct
4(540π) inches³ ≥ 2304π inches³
Unfortunately, 2160π inches³ is less than 2304π inches³. This means Nicholas is absolutely wrong .4 times the volume of the cylindrical bucket is less than the volume of the spherical tank.
Step-by-step explanation:
The question wants you to look for the volume of the cylindrical bucket and the spherical bucket and know if 4 times the volume of the cylindrical bucket will fill the spherical tank.
volume of a cylinder = πr²h
where
r = 6 inches
h = 15 inches
volume of the cylinder bucket = πr²h
volume of the cylinder bucket= π × 6² × 15
volume of the cylinder bucket = π × 36 × 15
volume of the cylinder bucket = 540π inches³
volume of the spherical storage container
volume = 4/3πr³
r = 24/2 = 12 inches
volume = 4/3 × π × 12³
volume = 4/3 × π × 1728
volume = 6912π/3
volume = 2304π inches³
To know if Nicholas is correct 4(540π) inches³ ≥ 2304π inches³
Unfortunately, 2160π inches³ is less than 2304π inches³. This means Nicholas is absolutely wrong .4 times the volume of the cylindrical bucket is less than the volume of the spherical tank.
You first have to see if they have the same common denominators. If they do then the operation as in addition you add the numerator and denominator together and she if it can be reduced into a smaller number
They gave the coordinates so you are going to use distance formula to find the MN.
X=15,
I just took the quiz
Answer:
57 degrees! : D
Step-by-step explanation:
Every triangle angles(all of them) add up to 190 degrees.
so 33+x+90 degrees.
Why do we add 90 degrees? because there is a little "square on the bottom right explaining that it is a 90-degree angle.
so 33+90=123
so x=180(our original sum) minus 123
and so x=57 degrees
