(4/3)*pi The formula for the volume of a sphere is (4/3)*pi*radius3
V = 268.1 cubic feet.
V = 4/3*pi*r^3 you do the math
-- Find the volume of a sphere with radius = 1.56 -- Find the volume of a sphere with radius = 1.61 -- The uncertainty is the difference between the bigger result and the smaller one. -- For the percent uncertainty, find out what percent that difference is of the (r = 1.56) volume. (Divide the difference of the two volumes by the volume you get with r=1.56 . Multiply the result of the division by 100, and you have the percent of uncertainty.) (Just knocking it out quickly on our calculator, we get about 9.93% uncertainty. This may or may not be correct, and you should not depend on it. But if you get the same answer, then we're probably both right.) Here's an important tool that you'll need to do this job: Volume of a sphere = 4/3 (pi) (radius)3
Volume of cylinder = pi x radius^2 x height pi x 10^2 x 9= 900pi meters^3
6 meters
the cylinder is approximately 50240 m3 the sphere is approximately 33493 and 1/3 m3
(4/3)*pi The formula for the volume of a sphere is (4/3)*pi*radius3
9 yards
V = 268.1 cubic feet.
12.73 meters
volume is 4/3 pi x the redius cubed
V = 4/3*pi*r^3 you do the math
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.
-- Find the volume of a sphere with radius = 1.56 -- Find the volume of a sphere with radius = 1.61 -- The uncertainty is the difference between the bigger result and the smaller one. -- For the percent uncertainty, find out what percent that difference is of the (r = 1.56) volume. (Divide the difference of the two volumes by the volume you get with r=1.56 . Multiply the result of the division by 100, and you have the percent of uncertainty.) (Just knocking it out quickly on our calculator, we get about 9.93% uncertainty. This may or may not be correct, and you should not depend on it. But if you get the same answer, then we're probably both right.) Here's an important tool that you'll need to do this job: Volume of a sphere = 4/3 (pi) (radius)3
Volume of cylinder = pi x radius^2 x height pi x 10^2 x 9= 900pi meters^3
4/3 x pi x r3 = sphere 4/3 x pi x 33 = 113.097 cu inch