an inverted cone is filled with water . when a cube is dropped into it , 1/11 of water overflows from the cone find the length of the cube if radius of cone is 18cm and ht 7cm
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2
Step-by-step explanation:
When a cube is dropped, 1/11 part of water comes out from cone.
So, volume of cube = (1/11) × volume of cone
L×L×L = 1/11 × pie × r × r × h
L×L×L = 1/11 × 22/7 × 18 × 18 × 7
L×L×L = 2×6×18
L×L×L = 216
L = 6
Length of cube is 6 cm.
Answered by
5
The length of the cube is equal to 6 cm.
r - the radius of the cone = 18 cm
h - the height of the cone = 7 cm
When a cone is dropped in the cone filled with water , (1/11)th of water will overflow from the cone. The volume of the cube will be equal to the volume of water overflowed.
Volume of cone = πr²h
= (1/3) (22/7) × (18)² × 7
= 2376 cm³
Volume of the cube = (1/11) × volume of cone
= 2376/11
= 216 cm³
Let the length of cube be l.
l³ = 216
=> l = 6 cm
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