10 The cylinder shown has a volume of 120 cubic inches and its

height is equal to its radius. The cylinder and the sphere

shown have the same radius.

Which is the volume of the sphere?

A

40 cubic inches

B

90 cubic inches

C

160 cubic inches

D

360 cubic inches

And we can solve for the radius:

And replacing we got:

And the volume for a sphere is given by:

And replacing we got:

And the best option for this case is:

C  160 cubic inches

Step-by-step explanation:

For this case we know that the volume for the cylinder is 120 in^3. We know that the radius of this cylinder is equal to the height so then the volume can be founded with this formula:

And we can solve for the radius:

And replacing we got:

And the volume for a sphere is given by:

And replacing we got:

And the best option for this case is:

C  160 cubic inches

b

2

−

b

b

3

+

7

b

2

+

14

b

+

6

%

−

3

b

3

+

7

b

2

+

14

b

+

6

%

step-by-step explanation: