V = 4/3(Pi*r3): A sphere with a radius of 16 units has a volume of ≅17,157.28 cubic units.
Volume in cubic units = 4/3*pi*153
(4/3) x (pi) x (17)3
4/3*Pi*163 = 17,157.28 cubic units
Surface area of a sphere: 4*pi*r^2
Surface area = 4*pi*r2
Area = 4*pi*r^2
Volume = 4/3*pi*53 = 523.599 cubic units rounded to 3 decimal places
4/3*pi*radius3 = 523.6 Making the radius the subject of the above gives it a value of 5.000003897 or about 5 cm
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
The diameter of the moon is about 3474.8 kilometers. The volume of a sphere is equal to 4/3 (pi)(radius cubed). This gives it a volume of approximately 2.1958 E10 cubic kilometers.
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 )
Surface area of a sphere = 4*pi*radius2
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
( 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.
If you mean 4*pi*r^2 then it is the formula for finding the surface area of a sphere
Volume: 4/3*pi*radius3 = 140 By making the radius the subject of the above gives it a value of 3.221166265 cm Surface area: 4*pi*3.2211662652 = 130.387557 square cm
the volume changes as radius squared and linear with height, so tripling radius and double of height gives 3 x 3 x 2 = 18 times more volume
The term 'radius' is almost always applied to spheres and circular objects. It is the distance from the edge of the circle/sphere to the center. Double the radius gives you the diameter, which is the longest chord you will be able to get. In other words, the diameter is the largest distance between any two points in a circle or sphere.
use the displacement method 1.take a bowl that the apple could fit in, then fill up the bowl with water until it overflows. 2.put the apple in slowly and make sure you catch all the water in a measuring cup. 3. however much water comes out is the volume of the apple If we model it as a sphere, the volume can be calculated with the equation 4/3pi.r3 where pi is the number 3.1415 etc. and r is the radius of the sphere. estimating the average diameter for an apple as 8cm gives a radius of 4cm so the estimate for the volume would be: 268cm3
The volume of a cube is L3. The volume of a sphere is 4/3 Ï€ r3 . If L=2r, Vcube=8r3. Comparing the volume of the cube with a side 2r and a sphere with a diameter of 2r where the r's are equal gives us: Vcube/Vsphere= (8r3)/(4/3 Ï€ r3 ) or (8x3)/(Ï€x4) As Ï€ roughly equals 3 the equation simplifies to: Vcube/Vsphere=2 or a cube with its side equal to the diameter of a sphere has a volume approximately twice that of the sphere.
Volume of a sphere = 4/3 pi r^3. Taking pi as 355/113 gives 4/3 x 355/113 x 125 = 523.6 cu cm
The volume of a cone is pi(r2h)/3 If the radius and height are both tripled, plugging this into the equation gives us pi(3h(3r)2)/3 =pi(3h9r2)/3 =27pi(r2h)/3 which is 27 times the initial volume. Thus if the radius and height of a cone are tripled, the volume multiplies by 27.
Assuming that the plant cell is a sphere of about 25 micrometer in radius, you can estimate the volume = 6.5 x 10-14 m3 Assuming that mitochondria are spherical as well (which is not true, but we're estimating things here), their diameter is about 1.5 micrometers Volume = 1.8 x 10-18 m3 Now, dividing the plant cell volume by the mitochondrium volume gives roughly 36,000 mitochondria.