Volume and surface area of a solid sphere are numerically equal. Find it’s radius. Hence find the volume of the cube which just enclose this sphere
Answers
Answered by
3
Given : Volume and surface area of a solid sphere are numerically equal.
To find : Radius of Sphere
volume of the cube which just enclose this sphere
Solution:
Radius of Sphere = R
Volume of sphere = (4/3)πR³
Surface Area of sphere = 4πR²
(4/3)πR³ = 4πR²
=> R = 3
Radius of Sphere = 3 units
Diameter of Sphere = 2 * Radius = 2 * 3 = 6
Cube which will enclose sphere has side = Diameter of sphere = 6
Volume of cube = 6³ = 216 cubic units
volume of the cube which just enclose this sphere = 216 cubic units
Learn More:
A mineral contains a cubic and spherical cavity. The length of the ...
https://brainly.in/question/9063718
A man has solids of shapes (sphere, cube, cylinder, cuboid & ...
https://brainly.in/question/13532326
Similar questions