Find the volume of the sphere in terms of p. o.

500pi/3

Step-by-step explanation:

We are to find the volume of sphere inside a cone.

Figure given gives the height and radius of cone.

From the figure we can find that semi vertical angle has tangent value

= 5/12.   i.e. tan A = 5/12 where A is semi vertical angle.

Let the sphere have radius r and O the centre of sphere.  Then we find that h = r+x where distance from O to vertex is x.

Hence r/(r+x) = 5/12

12r = 5r+5x or 7r =5x and r=12-x

Solving 7r = 5(12-r) Or 60 = 12r or r = 5 cm

SO volume of sphere =

for any of you who need the translation here it is

step-by-step explanation:

find the angular size of the equatorial radius of the earth, if the horizontal parallax of the sun