Question

A cylindrical vase has a diameter of 4 inches. At the bottom of the vase, there are 6 marbles, each of diameter 2 inches. The vase is filled with water up to a height of 8 inches.

What is the volume of water in the vase?

26π in^3

16π in^3

24π in^3

32π in^3

Answer 1

@jim_thompson5910 @amistre64

Answer 2

Total Volume = (Volume of Cylinder) - (Volume of Marbles)

Answer 3

Volume of Cylinder

V = pi*r^2*h

V = pi*2^2*8

V = 32pi

Answer 4

Volume of One Marble:

V = (4/3)*pi*r^3

V = (4/3)*pi*1^3

V = (4/3)*pi


Volume of 6 Marbles

V = 6*(Volume of one marble)

V = 6*((4/3)*pi)

V = 8pi

Answer 5

So....

Total Volume = (Volume of Cylinder) - (Volume of Marbles)

Total Volume = (Volume of Cylinder) - (Volume of 6 Marbles)

Total Volume = ...

I'm sure you know what to do from here

Answer 6

yes thanks :)

Answer 7

np