The total volume of the magnetic disc (including the central hole) = π(x + 2)² x ; as x + 2 is the outer radius and x is the depth.
The volume of the inner "hole" = πx² x.
The total volume of the magnet = π(x + 2)² x - πx² x = 120π
Dividing by π gives, x³ + 4x² + 4x - x³ = 120 : x² + x = 30 : x² + x - 30 = 0
This can be factored as (x + 6)(x - 5) = 0
As we are only concerned with the positive root then this occurs when x - 5 = 0,
then x = 5
NOTE : When x² + x = 30 this could have been written as x(x + 1) = 30 and by inspection the answer 5 x 6 = 30 could be readily deduced, confirming that x = 5.
The volume of a circular cylinder varies directly with the height of the cylinder and with the square of the cylinder's radius If the height is halved and the radius is doubled then the volume will be increased.
The volume of a right circular cone with a radius of 4mm and a height of 6mm equals 140.88mm3
The volume of a cylinder is represented by this formula:r2Ï€hwhere r = radius of circular baseand h = height of cylinder
volume of a regular right circular cylinder is V=pi(r2)h since the radius is (a) then the height of the circular cylinder would be (2a) so the volume of the largest possible right circular cylinder is... V=2(pi)(r2)(a) with (pi) being 3.14159 with (r) being the radius of the circle on the top and bottom of the cylinder with (a) being the radius of the sphere
Volume of a cylinder = (pi) x (Radius)2 x (Length)
V = (pi) (radius)2 (length)
The volume of the interior of a pipe (or any circular cylinder) is the cross-sectional area multiplied by the length (volume = pi x radius x radius x length).
Volume of the cylinder: pi*radius*radius*height
890.19m3
r = 0.41702
The volume is 141.37 cubic meters.
The volume is 47.12 cubic meters.