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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.

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When the diameter of a sphere is decreased by 25 percent the what percent does its curved area decreases?

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.


Will a solid metal sphere hold greater charge then a hollow sphere of the same diameter where does the charge reside in each case?

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.


What is the electric field of a uniformly charged sphere?

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.


Will a solid metal sphere hold a larger electric charge then a hollow sphere of the same diameter and where does the charge reside in each case?

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.


What is the part of speech for the word diameter?

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.

Related Questions

When the diameter of a sphere is decreased by 25 percent the what percent does its curved area decreases?

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.


When the diameter of a sphere is decreased by 25 percent then what per cent does its curved surface area decrease?

The surface area decreases by 43.75%.


What is the diameter of a sphere that has a volume of 4189mm3?

The diameter of this sphere is 20 mm


What is the height of a sphere with a diameter of 3.8?

A sphere's height will always be the same as its diameter.


What does the diameter of the sphere join?

The diameter joins together the circumference of the sphere and it passes through the center of the sphere.


How does the volume of a sphere with a diameter of 2 inches compare with a sphere with a diameter of 1 inch?

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.


What is the volume of a sphere with the diameter of 8 cm?

The volume of a sphere with a diameter of 8cm is about 268cm3


What is a volume of a sphere with a a diameter of 6cm?

A sphere with a diameter of 6cm has a volume of 113.1 cm3


What is the volume of a sphere with the diameter of 25 cm?

The volume of a sphere with a diameter of 25cm is about 8181.2cm3


What is the volume of a sphere with diameter 5.5 m?

The volume of a sphere with a diameter of 5.5m is about 87.1m3


If the surface area of a sphere is 48.3 cm2 whats its diameter?

The sphere's diameter is 3.921 cm


What is the area of a sphere with a diameter of 10?

The surface area of a sphere with a diameter of 10 is about 314.16 units2