(4/3) x (pi) x (17)3
4/3*Pi*163 = 17,157.28 cubic units
The formula for the volume of the sphere is:v= volumer= radiusTo find the radius, you divide the diameter by 2 since the diameter is twice the radius.6/2 = 3 = radiusThen you just plug it in the formulaV= 4/3 pi 33V= 4/3 pi 9V= 12 piV= 37.6991118Now, to find half the volume, you need to divide 37.6991118 by 2 which gives you 18.8495559
I understand the question to mean that when somebody gives you the volume of the sphere (V), you want to be able to find its radius (R). When you have the radius, you calculate the volume with V = 4/3 pi R3, so we'll just solve this equation for R. V = 4/3 pi R3 (3V)/(4 pi) = R3 R (radius) = cube root of [ (3V) / (4 pi) ] R = 0.6203 times the cube root of ( Volume )
First of all, we must know the volume of a cylinder, which is: the area of the cross-section(the circle) times the height of the cylinder.This means the formula is: pi x radius2 x h.We know that the radius is 4 and the height is 10, so we substitute these into our formula for the volume.So... Volume =pi x 42 x 10.We put this in the calculator, which gives us 502.65This means that the volume of this cylinder is 502.65 cm squared.
The formula to calculate the volume of a sphere is V = (4/3)πr^3, where r is the radius of the sphere. Given a radius of 3.1, we substitute this value into the formula: V = (4/3)π(3.1)^3. Calculating this gives us V ≈ 127.6 cubic units.
4/3 pie(7exponent3)
V = 4/3(Pi*r3): A sphere with a radius of 16 units has a volume of ≅17,157.28 cubic units.
Well, darling, the volume of a sphere is calculated using the formula V = (4/3)πr^3. So, plug in the radius of 12 cm, and you'll find that the volume is approximately 7238.23 cubic centimeters. So, there you have it, sweetie, now go impress someone with your newfound knowledge.
If you mean 4*pi*r^2 then it is the formula for finding the surface area of a sphere
( The volume of a sphere is (4/3)(pi)r3 ). The short answer: because of calculus. The long answer: This can be seen by using calculus to derive the volume of a sphere from the formula from it's surface area. To do this, we imagine that the sphere is full of infinity thin spheres inside it (all centered at the big sphere's center), and add up the surface areas of all the spheres inside. The formula for the surface area of a sphere is 4(pi)r2. Let's call R the radius of the big sphere we want to find the volume of. To find the volume of this sphere, we add up the surface areas of all the spheres whose radii range from 0 to R. This gives the following formula (where r is the radius of each little sphere): 0R∫ 4(pi)r2dr The 4 and pi can be factored out giving: 4(pi) (0R∫r2dr) Integrating gives: 4(pi) [r3/3]0R This is where the three comes from. Finishing the evaluation of the integral gives: 4(pi)(R3/3 - 03/3) = 4(pi)(R3/3) Which can be rewritten as (4/3)pi(R3) which is the formula for the volume of a sphere.
(4/3) x (pi) x (17)3
V = 4/3(PI*73) ≅ 1,436.76 units3
4/3*Pi*163 = 17,157.28 cubic units
Volume in cubic units = 4/3*pi*153
Volume = 4/3*pi*radius3 = 900 cubic inches By making the radius the subject of the above equation gives the sphere a radius of 5.989418137 inches. Surface area = 4*pi*5.9894181372 = 450.7950449 square inches
To find the length of the wire, we need to calculate the volume of the copper sphere first. The volume of a sphere is given by the formula V = (4/3)πr³, where r is the radius of the sphere. Substituting r = 3 cm, we find the volume of the sphere to be approximately 113.1 cm³. Next, we need to find the volume of the wire. Since the wire is cylindrical, its volume can be calculated using the formula V = πr²h, where r is the radius and h is the height (length) of the wire. Given the diameter of the wire is 0.4 cm, the radius is 0.2 cm. Assuming the wire is very long compared to its diameter, we can approximate the wire as a cylinder and find its length by dividing the volume of the sphere by the volume of the wire. This gives us the length of the wire as approximately 565.5 cm.