The answer is 6km
6km is the greatest
; a₁ is the first term, d is the difference between terms, and n is the term
-4, -21, -38, ... ⇒ a₁ = -4, d = -17
= -4 - 17n + 17
= 13 - 17n
= 13 - 1088
= 1075
Answer: 1075
Okay so this is not too hard once you get the grasp of it. What you want to do is put everything with each other giving you the answer, -3x^2 +42x^2 -147x
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.
