Prove that the conjecture is false by providing a counter example.
1 answer:
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Answer:
Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.
Step-by-step explanation:
The volume of a hemisphere (), measured in cubic centimetres, is obtained from this formula:
Where is the radius of the hemisphere, measured in centimetres.
We know that radius is the half of the diameter (), measured in centimetres, then:
()
Now, we get the volume of each hemispherical bowl:
The total volume of six hemispherical bowl is:
From Physics we know that 1 litre equals 1000 cubic centimetres. Then:
Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.
Answer:
3x +8y = -17
Step-by-step explanation:
The point-slope equation is a good place to start.
y -k = m(x -h) . . . . . equation through (h, k) with slope m
Filling in your numbers gives ...
y +4 = -3/8(x -5)
Multiplying by 8, we get
8y + 32 = -3x + 15
Adding 3x-32 puts this in standard form.
3x + 8y = -17
_____
Standard form is ...
ax +by = c
where a, b, c are mutually-prime integers and the leading coefficient is positive. (If a=0, the leading coefficient is b.)
