The rule for the volume of a sphere is:
4piR^3/3
where R is the radius.
So if the radius is 2,
V = (4pi x 2^3) /3
V = (4pi x 8) /3
V = 32pi / 3
V = 33.51cm^3
33.51 cm^3
Volume of a sphere is 4/3 pi times the cube of its radius.
The volume of a sphere is given by the formula V =⁴⁄ ₃πr3The volume of a sphere with radius 7cm = ⁴⁄ ₃π73 = 1436.76 cm3 (to 2 dps)
First we have to find the radius of the sphere because the circumference is 2*pi*radius. 4/3*pi*radius3 = 904.7786842 cubic cm With your calculator multiply both sides by 3 and then divide both sides by 4*pi: radius3 = 216 Cube root both sides: radius = 6 cm Circumference = 2*pi*6 = 37.69911184 or 38 cm to the nearest cm.
I'm quite sure this is impossible to prove, because the volume of a sphere is not equal to the volume of a cylinder with the same radius and height equal to the sphere's diameter. This can be shown as: Volume of sphere = (4*pi*r3) / 3. Volume of cylinder = pi*r2*h. Here, the height, h, of the cylinder = d = 2r. So, the volume of the cylinder = pi*r2*2r = 2*pi*r3, which obviously does not equal the volume of the sphere. The volume of half a sphere (with radius r) is equal to the volume of a cylinder(whose height is equal to its radius, r) minus the volume of a cone with the same height and radius. Therefore, the volume of a sphere is just double that. If you follow the nearby link, you can see a nice demonstration of that.
33.51 cm^3
Volume = 4/3pi143 = 11494.04 cubic cm to 2 decimal places
V = 33.5103 cm3
The height of the cone of maximum volume that can be inscribed in a sphere of radius 12 cm is not 16 cm; it is actually 16 cm when considering the relationship between the cone's dimensions and the sphere's radius. The cone's volume is maximized when its height is two-thirds of the sphere's radius, which means the optimal height is ( \frac{2}{3} \times 12 \text{ cm} = 8 \text{ cm} ). Thus, the statement is incorrect; the correct height for maximum volume is 8 cm, not 16 cm.
The volume of a sphere with a radius of 2cm is about 33.5cm3
volume of any sphere = (4 / 3) * pi (a constant 3.14159) * radius cubedso if radius = say 2 cm, volume = 33.51so if radius = 4 cm, volume = 268.08so if you double the radius, you (2)^3= 8 times the volumeand if you treble the radius, you (3)^3 = 27 times the volume
Volume of a sphere is 4/3 pi times the cube of its radius.
The volume of a sphere is given by the formula V =⁴⁄ ₃πr3The volume of a sphere with radius 7cm = ⁴⁄ ₃π73 = 1436.76 cm3 (to 2 dps)
Well, darling, the volume of a sphere can be calculated using the formula V = (4/3)πr^3. Since the diameter is 6.5 cm, the radius would be half of that, which is 3.25 cm. Plugging that into the formula, the volume of the sphere would be approximately 179.58 cubic centimeters. Voila!
Volume of a sphere = 4/3 pi R3= (4/3 pi) (10-2 cm)3= 4.1888 x 10-6 cm3 (rounded)
Divide the diameter by 2 to get the radius. Then use the standard formula for the volume of a sphere.
Vol = 4/3*pi*r3 so given the volume, you can calculate the radius. Height of sphere = 2*radius.