The volume of a sphere is 4/3 pi R3, which shows that volume is proportional to the cube of the linear dimension. Alternatively, the linear dimension is proportional to the cube-root of the volume.
If volume decreases by a factor of 27, diameter decreases by a factor of (cube-root of 27) = 3. Diameter becomes 1/3rd the original diameter.
When the diameter of a sphere is decreased by 25%, its curved surface area decreases by approximately 43.75%. This is because surface area is proportional to the square of the radius, so a 25% decrease in diameter leads to a 43.75% decrease in surface area.
No, the charge of a hollow sphere and a solid sphere of the same diameter will be the same as long as they are both made of the same material. In both cases, the charge resides on the outer surface of the sphere due to electrostatic repulsion.
The electric field of a uniformly charged sphere is the same as that of a point charge located at the center of the sphere. This means that the electric field is radially outward from the center of the sphere and its magnitude decreases as you move away from the center.
No, a hollow sphere can hold a larger electric charge compared to a solid sphere of the same diameter because the charge resides on the outer surface in both cases. In a hollow sphere, the charge distributes uniformly on the outer surface, allowing it to hold more charge without experiencing as much repulsion between like charges as a solid sphere.
The word "diameter" is a noun. It refers to a straight line passing through the center of a circle or sphere that connects two points on the circumference.
When the diameter of a sphere is decreased by 25%, its curved surface area decreases by approximately 43.75%. This is because surface area is proportional to the square of the radius, so a 25% decrease in diameter leads to a 43.75% decrease in surface area.
The surface area decreases by 43.75%.
The diameter of this sphere is 20 mm
A sphere's height will always be the same as its diameter.
The diameter joins together the circumference of the sphere and it passes through the center of the sphere.
A 2-inch diameter sphere has a volume of 4.189 cubic inchesA 1-inch diameter sphere has a volume of 0.5236 cubic inches.
The volume of a sphere with a diameter of 8cm is about 268cm3
A sphere with a diameter of 6cm has a volume of 113.1 cm3
The volume of a sphere with a diameter of 25cm is about 8181.2cm3
The volume of a sphere with a diameter of 5.5m is about 87.1m3
The sphere's diameter is 3.921 cm
The surface area of a sphere with a diameter of 10 is about 314.16 units2