Question

What is the diameter in inches in a sphere where volume is 25000 cubic cm ?

Answer 1

We know that volume of sphere V = 4/3  π r^3

25000 cm^3  = 4/3 *3.14 r^3

r^3 = (25000*3/4) /3.14

r^3 = 5971.33

r = 18.14 cm

diameter = 2* r

= 2* 18.14 cm

= 36.28 cm

 

1 inche =2.54 cm

So 36.28 cm * 1 inche / 2.54 cm = 14.28 in  

Answer 2

The diameter of the sphere is 14.28 inches.

Explanation:

It is given that,

The volume of a sphere is 25000 cm³

We need to find the diameter of the sphere. The formula used to find the volume of a sphere is given by :

$V=\dfrac{4}{3}\pi r^3$

r is radius of sphere

Plugging all the values, we get :

$r=(\dfrac{3V}{4\pi})^{1/3} \\\\r=(\dfrac{3\times 25000 }{4\times 3.14})^{1/3}\\\\r=18.14\ cm$

Diameter, d = 2r = 36.28 cm

Since, 1 cm = 0.393 inches

36.28 cm = 14.28 inches

So, the diameter of the sphere is 14.28 inches.

Learn more,

Volume of sphere

https://brainly.in/question/17178018