How is volume related to radius?
How is volume related to radius?
The volume V of a sphere is four-thirds times pi times the radius cubed. The volume of a hemisphere is one-half the volume of the related sphere. Note : The volume of a sphere is 2/3 of the volume of a cylinder with same radius, and height equal to the diameter.
What is the ratio of the volume of a sphere of radius r to the volume of a sphere of radius 2r?
Volume of sphere=34π(2r)3=332πr3. Was this answer helpful?
What is the Sav ratio of a ball with radius a?
1 Answer. Surface area to volume ratio of a sphere equals to 3r , where r is the sphere’s radius.
What is the ratio of the surface area of a sphere with radius R to its volume?
3 / r
Answer: For a sphere with radius r, the ratio of surface area to volume is 3 / r.
What is the relationship between radius and volume of a cylinder?
The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h .
Is volume dependent on radius?
For students to understand: The relationship between the volume of a cylinder and its radius. To see that as the radius changes, the volume changes in proportion. Be able to comfortably use the volume of a cylinder formula. π is a constant and height, h, is a constant in this task.
Why is there a 4 3 in the volume of a sphere?
Since the cylinder/cone and hemisphere have the same height, by Cavalieri’s Principle the volumes of the two are equal. The cylinder volume is πR3, the cone is a third that, so the hemisphere volume is 23πR3. Thus the sphere of radius R has volume 43πR3.
What is the ratio of volume and surface area of a sphere of radius 2r?
The formula for the volume of a sphere is V=34πr3, and the formula for the surface area of a sphere is A=4πr2.
How do you calculate SA to volume ratio of a sphere?
For a sphere, surface area is S= 4*Pi*R*R, where R is the radius of the sphere and Pi is 3.1415… The volume of a sphere is V= 4*Pi*R*R*R/3. So for a sphere, the ratio of surface area to volume is given by: S/V = 3/R.
