Question

18. How many soap cakes measuring/cm3
19. The base of a tank is a square of side 22 metres. If it holds as much water as a well whose diameter is 14 metres
and depth is 44 metres, find the depth of the tank.
20. (i) If the volumes of two cubes are in the ratio 27 : 64, find the ratio of their edges.
If the diagonal of a cube is 12 cm, find its volume in cu. cm.​

Answer 1

Answer:

Step-by-step explanation:

we are supposed find the depth of tank

we will have to find volume of the well which is in the shape of cylinder and equate it with the volume of tank (Cuboid)

volume of cylinder = Π×r^2×h

d=14 => r= 7

π=22/7

h= 44

volume = 22/7×7×44

=22×44

= 968 is the volume of well

as the well can hold as much water as the tank so their volume must be equal

so let h be depth of the tank

=> 968= 22×h×22

=>(968)/(22×22)=h

=>968/484=h= 2

so depth of the tank is 2metres.