Question

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

@zaibali.qasmi

Answer 1

@SolomonZelman help

Answer 2

@cwrw238

Answer 3

do you understand?

Answer 4

Imagine the vase without the marbles, can you find the volume then?

Answer 5

i first got 96

Answer 6

How?

Answer 7

=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 8

?

Answer 9

yes..its right.