(4/27)*pi*R3*tan(x)
R being the radius of the base of the cone.
The answer depends on the cylinder.
To find the volume of the cylinder ( V_1 ) that is not occupied by the cone, we first need to calculate the volumes of both the cone and the cylinder. The volume of the cone is given by ( V_{\text{cone}} = \frac{1}{3} \pi r^2 h ), while the volume of the cylinder is ( V_{\text{cylinder}} = \pi r^2 H ), where ( h ) is the height of the cone, ( H ) is the height of the cylinder, and ( r ) is the radius of the base. The volume of the space not occupied by the cone in the cylinder is then ( V_1 = V_{\text{cylinder}} - V_{\text{cone}} = \pi r^2 H - \frac{1}{3} \pi r^2 h ). Since the cone and the pyramid have the same volume, this relationship helps in understanding their dimensions but does not directly impact the volume calculation for the cylinder.
multiply the volume of the cylinder by 1/3. whatever you get is the volume of the cone
Volume of a cylinder = base area times height
The larger cylinder has a volume of 6225cc
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
Approx 117.3 cubic centimetres.
The answer depends on the cylinder.
100ml
To find the volume of the cylinder ( V_1 ) that is not occupied by the cone, we first need to calculate the volumes of both the cone and the cylinder. The volume of the cone is given by ( V_{\text{cone}} = \frac{1}{3} \pi r^2 h ), while the volume of the cylinder is ( V_{\text{cylinder}} = \pi r^2 H ), where ( h ) is the height of the cone, ( H ) is the height of the cylinder, and ( r ) is the radius of the base. The volume of the space not occupied by the cone in the cylinder is then ( V_1 = V_{\text{cylinder}} - V_{\text{cone}} = \pi r^2 H - \frac{1}{3} \pi r^2 h ). Since the cone and the pyramid have the same volume, this relationship helps in understanding their dimensions but does not directly impact the volume calculation for the cylinder.
1357.2
It is a cuboid
volume of cylinder pir2h
Compression ratio is the difference in the volume of a engine cylinder between when the cylinder is at it's largest volume, compared against when the cylinder is at it's smallest volume. Gasoline engines use 8:1 to 12:1 compression ratio. Diesel fuel engines use 14:1 to 25:1.
If the area of the base and the height of the cylinder and the cone are the same, then the volume of the cone will always be one third of the volume of the cylinder.
The ancient mathematician who requested that his grave be marked with a sphere inscribed in a cylinder was Archimedes of Syracuse. He made significant contributions to geometry, calculus, and the understanding of levers and buoyancy. His request symbolizes his deep appreciation for geometry and the mathematical principles he explored throughout his life. Archimedes is famously known for his work on the volume and surface area of spheres and cylinders.
multiply the volume of the cylinder by 1/3. whatever you get is the volume of the cone