The figure above shows a straight cone of base radius RR in which a sphere is inscribed that intersects the side of the cone in a circle of radius rr. Point CC is the center of the base of the cone and tangent to the sphere. Points AA and BB are located on the same generatrix...
Find the center and radius of the sphere x^2+8x+y^2-0y+z^2+12^z=-3. Find the center and radius of the sphere x^2 + y^2 + z^2 - 6y+8z = 0 . Find the center and radius of the sphere. x^2 + y^2 + z^2 - 9y = 0 Find the cen...
A) Find the radius of the sphere. B) Find the center of the sphere. (Give an answer as a point(a,b,c).) Equation of a Sphere: The equation of a sphere with center (a,b,c) and radiusRis given by: (x−a)2...
To find the radius of a sphere whose surface area is given as 154 cm2, we can follow these steps: 1. Understand the Formula for Surface Area of a Sphere: The surface area A of a sphere is given by the formula: A=4πr2 where r is the radius of the sphere. 2. Set Up the Equa...
Find the surface area of the sphere whose radius is : (a) 7 cm (b)... 02:35 Find the total surface area of the hemisphere whose radius is : (a) ... 03:27 The ratio of the radii of two spheres is 1 : 3. Find the ratio of thei... 01:11 If the radius of one sphere ...
The surface area of a sphere is equal to ( 4) times Pi(π ) times the radius squared. ( 4π ⋅ ((radius))^2) Substitute the value of the radius( r=18) into the formula to find the surface area of the sphere. Pi(π ) is approximately equal to ( 3.14). ( 4⋅ π ⋅ ...
(1)Find the rates of change of the volume when r=9 inches and r=36 inches. (2)Explain why the rate of change of the volume of the sphere is not constant even though dr/dt is constant. 相关知识点: 试题来源: 解析 (1)972π in.3/min, 15,552π in.3/min (2)If (dr)(dt) is...
Find the center and the radius of the sphere, {eq}x^2 + y^2 + z^2 - 4x + 2y - 6z + 5 = 0 {/eq}. Also, find the xy trace of the sphere. Quadric Surfaces: A quadric surface is a surface in {eq}\mathbb{R}^3 {/eq} ...
Find the center and radius of the sphere {eq}x^2-20x+y^2-0y+z^2-8z=-67 {/eq} Equation of Sphere: Equation of sphere is {eq}\left ( x-a \right )^{2}+\left ( y-b \right )^{2}+\left ( z-c \right )^{2}=r^2 {/eq} where {eq}\left ...
(a) The total surface of a sphere is 676 pi cm^(2). Find the radius of the sphere. (b) The total surface of a sphere is 4 pi cm^(2). Find the volume and dia