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.
Answer:
254.34
Step-by-step explanation:
area = 
area B = 3.14 x
= 254.34
Answer:
C
Step-by-step explanation:
The secant- tangent angle MLK is half the difference of the intercepted arcs, that is
(KN - KM) = 70° ( multiply both sides by 2 to clear the fraction )
KN - KM = 140°
KN - 61° = 140° ( add 61° to both sides )
KN = 201° → C
Answer: 20-10
Step-by-step explanation: 486-466 is 20. Half of 20 is 10. Any expression that equals ten is 1/2 as large as 486-466.
Answer: an improper fraction
Step-by-step explanation: An improper fraction is a fraction that is larger than 1 7/3 is larger than one because 7, the numerator is larger than the denominator so 7/3 is an improper fraction