For direct variation we need <u>y = Kx ( where K is constant ) </u>
Direct variation :- Two variable in relationship when they are constant multiple with each other.{ one element proportional to other like r is direct proportional to Y
r = K(y) k is constant
we have given equation :- -12 x = 6y
y = -12 x /6
y = -2x
this is in the form of y = kx ( constant of variation K = -2 )
Answer:
18.
Step-by-step explanation:
If the equation for the area of a rhombus is A=pq÷2, then you take 72, and you multiply it by 2, which gets you 144, then you simply take 144 and divide it by 8, which gets you 18. And then once you've done all that, you can simply check your math by plugging the numbers into the equation formula I've provided above. In case you're unsure of what it is, here it is again, A=pq÷2.
Answer:
Step-by-step explanation:
Cost = Area Cylinder body* cost * 0.03 cm^3 + Area of 2 lids*cost 0.06 of cm^3
Volume = 300 cm^3
Volume = Base *h
Volume = pi * r^2 * h = 300
h = 300/(pi * r^2 )
Area material = 2*pi * r * h * 0.03 + 2 pi r^2 * 0.06
Area material = 0.06*pi * r * 300/(pi* r^2) + 0.12 * pi * r^2
dmaterial/dr = (-1)18 r^-2 + 0.12 pi * 2*r
dmaterial/dr = -18 r^-2 + 0.24 pi * r
The minimum occurs when the right side = 0
18/r^2 = 0.24 *pi r
18 = 0.24*pi * r^3
18/(0.24 * pi) = r^3
23.89 = r^3
cube root (23.89) = cuberoot(r^3)
r = 2.88 cm
h = 300/pi * r^2
h = 300/(3.14 * 2.88^2)
h = 11.52
This isn't much of a check but we can try it.
Volume = 3.14 * 2.88^2 * 11.52
Volume = 302.01 which considering all the rounding is pretty close.
Here's a graph that confirms my answer.
Answer:
90
Step-by-step explanation:
<u>Given:</u>
The volume of a cylinder =15
Height of cone = Height of either cylinder
Radius of cone=Radius of either cylinder
<u>Formula:</u>
Volume of a cone =
Volume of a cylinder =
<u>To find: </u>Combined volume of both cylinders.
The volume of a cylinder =15
=15
=15 * 3
=45
[As
Height of cone = Height of either cylinder
Radius of cone=Radius of either cylinder<u>]</u>
=45
is the volume of one cylinder.
Combined volume of cylinder = 2* Volume of cylinder = 2*45 =90
Answer:
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