clark and jake share a cup of juice served in a paper cone . Clark drinks until the height of the juice in the paper cone has decreased by one third. He gives the rest to jake , what fraction of the juice did clark drink , express your answer as proper fraction
Answers
Answer:
Clark and Jake drank a cup of juice together
Clark drank 1/3 of the juice
the rest is drank by Jake
the juice drank by Jake be x
x+1/3 = 1
x = 1-1/3
x = 2/3
Jake drank 2/3 fraction of the juice
Hope this helps you
Answer:
19/27
Step-by-step explanation:
we know that height of juice decreases by 1/3 rd
hence amount of juice remainig = volume of cone with height 2/3 h (h-1/3 h)
radius of this cone(leftover juice) by property of similar triangles = 2/3 r
hence volume of juice leftover = 1/3 * pi * (2/3 r)^2 * 2/3 h= 1/3 *pi (8 /27)*r^2*h
volume of original cone of filled juice is = 1/3 pi r^2 h
hence volume of juice drunk by clark = 1/3 * pi *r^2 * h ( 1 - 8/27)
= 1/3 * pi *r^2 * h (19/27)
hence fraction of juice drunk by clark = (1/3 * pi *r^2 * h (19/27))/ 1/3*pi*r^2*h
= 19/27
hence your answer is 19/27