9514 1404 393
Answer:
4,811.49 m³
Step-by-step explanation:
The volume of a cone is computed using the formula ...
V = (1/3)πr²h
Using the given numbers, we find the volume to be ...
V = (1/3)π(15.35 m)²(19.5 m) = 1531.54625π m³ ≈ 4,811.49 m³
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<em>Additional comment</em>
If you inappropriately use 3.14 for π, you get a volume of 4809.06 m³. That 3-digit value is inappropriate because a value accurate to 6 significant figures or more is needed to support an answer accurate to 6 significant figures.
Start with the point-slope formula: y-k = m(x-h), where (h,k) is the given point and m is the given slope:
y+3 = (1/2)(x-2)
This equation can be rewritten in other forms if desired.
Answer:
Step-by-step explanation:
<u>Assume a solution</u>
Assume that 60 is the length. The width is then 1/4 less, or 60 -60/4 = 45.
The diagonal of this rectangle is found using the Pythagorean theorem:
d = √(60² +45²) = √5625 = 75
<u>Make the adjustment</u>
This is a factor of 75/40 larger than the actual diagonal, so the actual dimensions must be 40/75 = 8/15 times those we assumed.
length = (8/15)×60 = 32
width = (8/15)×45 = 24
The length and width of the rectangle are 32 and 24, respectively.
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<em>Comment on this solution method</em>
This method is suitable for problems where variables are linearly related. If we were concerned with the area, for example, instead of the diagonal, we would have to adjust the linear dimensions by the <em>square root</em> of the ratio of desired area to "false" area.
Answer:
#3
Step-by-step explanation:
there is a 2 to one ratio of string to precussion
Answer:
3
Step-by-step explanation:
Substitute 3 in for g and 21 in for h
h-6g
21-6(3)
Multiply first
21-18
Subtract
3
Hope this helps!
