Show that the surface are a of a sphere of radius r is 4wr2. 相关知识点: 试题来源: 解析 The sphere is obtained by rotating the semicircle x=rcost y=rsint 0≤t≤π about the x-axis. Therefore, from Formula 6, we get S=∫_0^π2πrsint√((-rsint)^2+(rcost)^2dt =2π∫...
The radius {eq}r {/eq} of the circular strip at the central plane of the sphere will be maximum (and equal to {eq}R {/eq}), and the radii of the strips will decrease as one moves from the central plane to each of the spherical poles. Let the thickness of each strip be...
Water guns are common when people celebrate Songkran Festival. A water gun is given on the left. Compute the radius of its spherical water storage. Solution Since we know that SA=50.24 sq. in., let us equate it to the surface area formula 4πr² and solve for the radius. 4πr²=...
The surface area of the body is the outer-most layers which are in contact with surrounding. The surface area is dependent on the radius of the sphere, cylinder, etc. The surface area is of the body can be determined using the method of integration....
A sphere is a three-dimensional figure whole center has the same distance as its outer surface. Distance between its center to its outer surface is called the radius of the sphere. We define the surface area of a sphere is the total area of the surface of the sphere, as expressed by...
Given surface to volume ratio: r=3/(A/V)r=3/(A/V). Our radius of a sphere calculator uses all of the above equations simultaneously, so you need to enter just one chosen quantity. Moreover, you can freely change the units (SI and imperial units). Check out our length conversion to...
shows a cross section of an isolated spherical metal shell of inner radius r1 and outer radius r2. a point charge q is located at a distance from the center of the shell. if the shell is electrically neutral, (a) what are the induced charges (qin, qout) on both surfaces of the ...
A solid sphere of mass m and radius r is placed inside a hollow thin spherical shell of mass M and radius R as shown in figure. A particle of mass m' is placed on the line joining the two centres at a distance x from the point of contact of the sphere and the shell. Find the ...
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associated particle m associated power seri associated primary id associated prime idea associated radius of associated random var associated sequence o associated space associated spherical associated support pr associated surface associated system associated tensor associated undirected associated value associated...