Step 5: Find the radiusThe radius r of the sphere is √4=2. Step 6: Write the equation of the new sphereThe equation of a sphere with center (h,k,l) and radius r is given by:(x−h)2+(y−k)2+(z−l)2=r2Substituting the center (1,−1,1) and radius 2:(x−1)2...
题目Determine the center and radius of the sphere whose Cartesian equation is given. 2-x^2-y^2-z^2=√ 3x-y+2z 相关知识点: 试题来源: 解析 ((√3)2,12,-1), 2 反馈 收藏
The equation of the sphere of radius r and centre (x1,y1,z1) is (x−x1)2+(y−y1)2+(z−z1)2=r2. The volume of the sphere is 43πr3 and its surface area is 4πr2. The object is symmetrical about both the axes....
Points (x,y,z) on the surface of the sphere with center (x0,y0,z0) and radius r should be able to satisfy the equation (x−x0)2+(y−y0)2+(z−z0)2=r2 Answer and Explanation: We are given the general form of the equation of a ...
Determine what set of points is described by the equation x^2+y^2+z^2-6x+4y+6=0. 相关知识点: 试题来源: 解析 We see that the given equation describes a sphere with center (3,-2,0) and radius √ 7 (see Figure ).The sphere (x-3)^2+(y-(-2))^2+(z-0)^2=7...
Let us consider the sphere of center x with radius r (see Figure 2) and a point x + rn over the surface, where n denotes the generic unit vector. Consider also the cylinder with base area dS = r2 dn and height |V| dt along the direction of the relative velocity V given by υ2...
结果1 题目 x^2+y^2+z^2=26 is the equation of a sphere, (0,0,0) and radius √(26) units. Find the point(s) where the line through (3,-1,-2) and (5,3,-4) meets the sphere. 相关知识点: 试题来源: 解析 (4,1,-3) and (1,-5,0) 反馈 收藏 ...
<p>To find the equation of the circle whose center is at (-5, 4) and radius is 7, we can follow these steps:</p><p><strong>Step 1: Write down the standard equation of a circle</strong> The standard equation of a circle with center (h, k) and radius r is
a在非典期间 我们最好不去人多的地方 In SARS period we most very go to human many places[translate] awhere f is the equation given in equation (2.2), and (xi,yi, zi) is the center of the ith sphere with radius ri.[translate]
A general equation for the determination of the radius of a sphere, tangent to three othersGiven: the radii of three spheres and the distances between them, the minimum radii of the two spheres to which the three spheres are externally and internally tangent may be obtained by the ...