SA=2(pi times r squared) + h(pi 2 r) or (easier way) 2 pi r squared + 2 pi r h
V = pi*(r^2)*h is the formula for the volume of a cylinder. In order to solve for 'h' (or the height), do the following:V = pi*(r^2)*h --> divide both sides of the equation by pi*(r^2) to get rid of pi*(r^2) on the right side of the equation.V/(pi*(r^2)) = (pi*(r^2)*h)/(pi*(r^2)) --> cancel out the common term (pi*(r^2)) in the right side of the equation.You are left with the original equation in terms of 'h':h = V/(pi*(r^2))
Circumference, C = 2*Pi*R Area, A = Pi * R^2 A = C Pi * R^2 = 2*Pi*R --> solve for R (radius) R = 2 So, the radius of a circle with area = circumference is two.
Circumference of a circle = 2 * pi * r pi = 3.1415926535897932384626433832795 r= radius of circle Hence Circumference of a Quadrant = 2 * pi * r / 4 = pi * r / 2 = 0.5 * pi * r For more accurate value of pi, please refer: http://en.wikipedia.org/wiki/Pi
The formula where C=circumference, R=radius is C = 2 pi R Since C = 16 pi inches and 16 pi = 2 pi R we can solve for R and get R= 16 pi /2 pi = 8 Therefore the Radius is 8 inches.
Surface Area = 2*pi*(r^2) + 2*pi*r*hVolume = pi*(r^2)*hFor a cylinder with a radius of r and a height of h.The ratio then is:[ 2*pi*(r^2) + 2*pi*r*h ] / [ pi*(r^2)*h ] =(2/h) + (2/r) =2*{ (1/h) + (1/r) }
girth = 2PI r height=h h+2 PI r =108 h=108-2 PI r Volume = PI r^2 h V = PI r^2 (108-2PI r) Differentiate with respect to r dV/dr = PI (2r) (108-2PI r) +PI r^2 (-2PI) =0 216 PI r -4 PI^2 r^2 -2 PI^2 r^2=0 216 PI r -6 PI ^2 r^2=0 PI r [ 216-6 PI r] =0 6 PI r = 216 r = 36/PI --- dimensions h = (108-2 PI (36/PI)) = 108 -72=36 -- dimensions Largest volume = PI r^2 h = PI (36/PI)^2 (36) =1,296 / PI d^2V/dr^2 =216 PI -6 PI^2 (2r) when r=36/PI, d^2V/dr2 = 216 PI - 6PI^2 (2)(36)/PI =216 PI -432 PI < 0, indicates V has been maximized.
SA=2(pi times r squared) + h(pi 2 r) or (easier way) 2 pi r squared + 2 pi r h
Since circumference of a circle is C = 2*pi*r where r is the radius, we know that 37.68 = 2*pi*r, so r = 37.68/(2*pi). Thus, we know that the area of the circle is A = pi*r^2 = pi*(37.68/(2*pi))^2, or 112.983.
Recall the equation A = pi * r^2. You've given the information that A = 289 pi. Now, simply solve the equation for r: A = pi * r^2 289 pi = pi * r^2 289 = r^2 sqrt(289) = r 17 = r
V = pi*(r^2)*h is the formula for the volume of a cylinder. In order to solve for 'h' (or the height), do the following:V = pi*(r^2)*h --> divide both sides of the equation by pi*(r^2) to get rid of pi*(r^2) on the right side of the equation.V/(pi*(r^2)) = (pi*(r^2)*h)/(pi*(r^2)) --> cancel out the common term (pi*(r^2)) in the right side of the equation.You are left with the original equation in terms of 'h':h = V/(pi*(r^2))
2*pi*r2 x 2*pi*rhx=timedSurface Area of a Cylinder = 2 pi r 2 + 2 pi r h Volume of a Cylinder = (2 pi r 2) height
S = 2 pi r h + 2 pi r2S - 2 pi r2 = 2 pi r hh = (S - 2 pi r2) / (2 pi r)
C=2(pi)r A=(pi)r2 If C=A, then 2(pi)r=(pi)r2. Divide both sides by r: 2(pi)=(pi)r. Divide both sides by (pi): 2=r. Therefore, if the radius of a circle is 2 ft., the circumference is 2 sq. ft.
2(pi)r (pi)r^2
A = pi r^(2) Where A is the Area of the circle pi = 3.141592.... r = radius r^(2) = radius squared. That is 'r X r'.
C = 2*pi*r 8 = 2*pi*r 4 = pi*r r = 4/pi