Question 2
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Formula
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Volume of the cylinder = πr²h
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Find Radius
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Radius = Diameter ÷ 2
Radius = 10 ÷ 2
Radius = 5 ft
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Find Volume
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Volume = πr²h
Volume = 3.14 x 5² x 21
Volume = 1648.5 ft³
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Answer: Volume = 1648.5 ft³
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Question 3
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Formula
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Volume of a sphere = 4/3πr³
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Find Volume
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Volume = 4/3 x 3.14 x 20³
Volume = 33493.3 ft³ (nearest tenth)
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Answer: Volume = 33493.3 ft³
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1) slope = (y₂-y₁)/(x₂-x₁)
Let A and B be A(4,-6) and B(0,2) ;
m = [2-(-6)]/[0-4) = (2+6)/(-4) → m = -2
2) Midpoint = value of x of the midpoint = (x₁+x₂)/2
value of y of the midpoint = (y₁+y₂)/2
x(midpoint) = (4+0)/2 → x= 2
y(midpoint) = (-6+2)/2 → y= - 2, so Midpoint M(2,-2)
3) Slope of the perpendicular bisector to AB:
The slope of AB = m = -2
Any perpendicular to AB will have a slope m' so that m*m' = -1 (or in other term, the slope of one is inverse reciprocal of the second, then if m =-2, then m' = +1/2 ; Proof [ (-2)(1/2) = -1]
4) Note that the perpendicular bisector of AB passes through the midpoint of AB or M(2,-2). Moreover we know that the slope of the bisector is m'= 1/2
The equation of the linear function is :
y = m'x + b or y = (1/2)x + b. To calculate b, replace x and y by their respective values [in M(-2,2)]
2= (1/2).(-2) + b → 2 = -1 + b → and b= 3, hence the equation is:
y = (1/2)x + 3
notice, the denominator for each fraction is the same, thus the LCD is just 3.
Answer:
168 cubic inches
Step-by-step explanation:
The parameters given are:
four 2 in. platys, seven 1 in. guppies, and a 3 in. loach,
Four 2 inches platys = 4 × 2 = 8 inches
Seven 1 inches guppies = 7 × 1 = 7 inches
A 3 inches leach = 3 inches
The smallest capacity tank you can buy will be
V = 8 × 7 × 3
V = 168 cubic inches
Therefore, the smallest capacity of tank you can buy is 168 cubic inches
