95.7k views
5 votes
Cone a has a radius of 6 units and a height of 4. Sphere B has the same volume as cone A. Find the Radius of sphere B.

User Rednoyz
by
4.5k points

1 Answer

3 votes

Answer:

3.3

Explanation:

to determine the answer

calculate the volume of the cone

the volume of the cone = volume of the sphere

use the volume of the sphere to find the radius

Volume of a cone 1/3(nr^2h)

n = 22/7

r = radius

h = height

(1/3) x (22/7) x (6^2) x 4 = 150 .86

volume of sphere = (4/3) x (n) x (r^3)

n = 22/7

r = radius

(4/3) x radius^3 x (22/7) = 150.86

radius^3 = (3/4) x (7/22) x 150.86

radius^3 = 36

find the cube root of 36

radius = 3.3

37.71

User Stephen Corwin
by
4.7k points