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: 433.1
Step-by-step explanation: I haven’t figured the work out yet
Answer:
210,000
Step-by-step explanation:
20,000 * 6% = 1,200
20,000 + 1,200 = 21,000
21,000 * 10 = 210,000
Therefore your answer is 210,000
Answer:
Step-by-step explanation:
The given function can be rewritten as y = ∛(27)*∛(x-3) - 5, or y = 3∛(x-3) - 5.
The basic (parent) function is y = ∛x. Graph this.
Next, perform a vertical stretch on this parent function: every y value will be 3 times its previous value.
Next, translate this graph 3 units to the right.
Last, translate this new graph 5 units downward.
Answer: B: 11 and 12
Step-by-step explanation:
- An integer is simply a whole number
- So consecutive integers are simply whole numbers that follow each other (ex: 1, 2, 3)
- The square root of 125 (in decimals) is 11.1803398875, meaning it is higher than 11 but less than 12
- So 11.1803398875 falls between 11 and 12, making the answer B
hope this helps :)
