Provided they are the same thickness, the larger sphere will have a radius of 10.165cm
The volume increases 27-fold.
yes the radius of a regular polygon is always greater than the apothem
I assume this is true or false... since it is only a statement and not a question. True
No, only if the diameter is bigger than the radius is the radius smaller than the diameter.
Volume of a sphere of radius r: V = 4pi/3 x r3 If the ratio of the radii of two spheres is 23,then the ratio of their volumes will be 233 = 1,2167
The dielectric is composed of "molecules" that are actually perfectly conducting spheres. These have radius R and are in a cubic array with spacing much greater than the radius R. With the application of a voltage, the spheres acquire the positive and negative surface charges on their northern and southern poles required to make their surfaces equipotentials. In so far as the field outside the spheres is concerned, the system is modeled as an array of dipoles, each induced by the applied field.
No, only on shapes with circles such as cones and spheres.
The volume increases 27-fold.
22
Four-thirds of pi times the cube of the radius
Since volume = 1/density x mass and as the rock is uniform it has a constant density, the volume is directly related to the mass; meaning that since the mass of the second is 5 times as big as that of the first, the volume of the second is also 5 times as big as that of the first. The ratio of volumes is the cube of the ratio of lengths; so the lengths are in the ratio of the cube root of the ratio of the volumes. The ratio of the volumes in this case is 1:5 giving the ratio of the lengths as 1:3√5 So the second radius is 3√5 (≈ 1.71) times as big as the first, making it 4.50 cm x 3√5 ≈ 7.69 cm.
For a solid cylinder, divide the radius of the flywheel by the square root of 2, to get the radius of gyration.
If the radius is tripled then the Area will be greater by a factor of 9. And the circumference will be greater by a factor of 3.
yes the radius of a regular polygon is always greater than the apothem
The volume increases faster. (proportional to the cube of the radius)The surface area increases slower. (proportional to the square of the radius)
Volume of a sphere = (4/3) x (pi) x (Radius)3
I assume this is true or false... since it is only a statement and not a question. True