SOLUTION: There is a cross section of a clear spherical container with some fruit juice in it. The radius of the sphere is 18cm and the perpendicular distance from the centre of the sphere t

Question 205696: There is a cross section of a clear spherical container with some fruit juice in it. The radius of the sphere is 18cm and the perpendicular distance from the centre of the sphere to the surface of the fruit juice is 9cm, calculate the diameter of the surface of the fruit juice in the sphere.
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
The sphere, liquid, and radius, makes a right triangle, with a hypotenuse equal to the spherical radius of 18 cm, and one leg of length 9 cm.
.
Using the pythagorean theorem, the radius of the liquid can be found.
.
c^2 = a^2 +b^2,,,,or 18^2 = 9^2 + r^2,,,,r^2 = 18^2 -9^2 = 243,,,,r=15.588 cm
.
or the diameter = 2*15.588 = 31.177 cm
.

RELATED QUESTIONS
A juice drink that is 60% real fruit juice is made by mixing some juice that is 15% real... (answered by josmiceli)

The area of a cross section of a sphere is 64\% of the largest possible cross sectional... (answered by CPhill,ikleyn)

The area of a cross section of a sphere is 64\% of the largest possible cross sectional... (answered by greenestamps,ikleyn)

A container is filled with 56 litres of pine juice. 8 litres of pine juice are extracted (answered by prince_abubu)

A spherical triangle on a sphere has an area of 419 sq.m. Find the radius of the sphere... (answered by ikleyn)

a container measures 18cm by 22cm by 30cm. it is 1/2 filled with water. water from a jug... (answered by Theo)

John mixed together 9 liters of Brand A fruit drink which contains 14% fruit juice, and 8 (answered by josgarithmetic)

discribe the cross section obtained when a plane intersects a sphere radius of 4 in.... (answered by Fombitz)

A cylindrical container of height 28cm and diameter 18cm is filled with water. The water... (answered by ikleyn,greenestamps)