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
8.5k 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
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories