Question

help!??!
A cylindrical vase has a diameter of 6 inches. At the bottom of the vase, there are 9 marbles, each of diameter 2 inches. The vase is filled with water up to a height of 12 inches.

What is the volume of water in the vase?


96π in3

27π in3

65π in3

105π in3

Answer 1

@rajat97 help plz

Answer 2

hello i'm here

Answer 3

and first of all i wanna wish you a merry merry christmas to you

Answer 4

thx and i wish u a Merry Christmas too

Answer 5

:)
okay
first of all you need to find the volume of the whole vase
next, find the volume of one marble and then multiply it by 9
next, what you need is the volume of the water that is poured in the vase
so the volume of the water will be equal to the remaining volume
so,
volume of liquid=volume of cylinder-TOTAL volume of marbles
i'll post the working for you

Answer 6

diameter(d) of cylinder=6inches
so radius of cyl=r=3inches
and the height of the cyl=h=12 inches (h=12 inches as the water is filled upto 12 inches and we'll take into consideration only the cylinder upto that height i hope you understand this)
so the volume of the cyl=\[\Pi r^2 h\]
=pi x 3 x 3 x 12
=108pi
next, the volume of one sphere = 4/3 x pi x r^3 (here , d=2 so , r=1)
=4/3 x pi x 1 x 1 x 1=4pi/3
so the volume of water will be 108pi-4pi/3 x 9 (9=total no. of marbles)
=96pi
that is first option

Answer 7

thx a lot

Answer 8

you're welcome and thanks for the medal

Answer 9

u are wlc