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KATRIN_1 [288]
3 years ago
6

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.

Mathematics
1 answer:
postnew [5]3 years ago
6 0

Answer:

3.3

Step-by-step 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

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