Question

A sphere and a cylinder have the same radius and height. The volume of the cylinder is mc011-1.jpg mc011-2.jpg What is the volume of the sphere? mc011-3.jpg mc011-4.jpg mc011-5.jpg mc011-6.jpg

Answer 1

Answer:

the volume of the sphere = 2C/3  Where C is volume of cylinder

if volume of cylinder = 8 m³ then volume of sphere = 16/3 m³

Step-by-step explanation:

A sphere and a cylinder have the same radius and height. The volume of the cylinder is C

Volume of cylinder = π R² H

R = radius of cylinder

H = Height of cylinder

C = π R² H

Height of cylinder  = Height of sphere = Diameter = 2 Radius = 2R

=> H = 2R

C =  π R² (2R)

C = 2π R³

Volume of Sphere = (4/3) π R³

= (2/3) 2π R³

= (2/3) C

= 2C/3

Volume of Sphere = 2C/3  Where C is volume of cylinder

if volume of cylinder = 8 m³

then volume of sphere = 2 * 8/3 = 16/3 m³