Acone’s height and its radius are each equal to half the radius of a sphere. how many of these cones would it take to equal the volume of the sphere? a)16 b)24 c)32 d)48

  32

Step-by-step explanation:

Given: A cone’s height and its radius are each equal to half the radius of a sphere.

Let x be the radius of the sphere, then the radius of cone =x/2

and height of the cone = x/2

The volume of sphere is given by :

, where r is the radius of sphere.

The volume of cone is given by :

, where r is the radius and h is height  of the cone .

The number of cones would it take to equal the volume of the sphere is given by :-

circle area = pi * radius^2

if diameter = 10 then radius = 5

circle area = pi * 5^2

circle area = pi * 25

circle area = 78.5398163397 square units

step-by-step explanation: