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anonymous
 one year ago
A cylindrical vase has a diameter of 4 inches. At the bottom of the vase, there are 6 marbles, each of diameter 2 inch. The vase is filled with water up to a height of 8 inches. What is the volume of water in the vase?
anonymous
 one year ago
A cylindrical vase has a diameter of 4 inches. At the bottom of the vase, there are 6 marbles, each of diameter 2 inch. The vase is filled with water up to a height of 8 inches. What is the volume of water in the vase?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.026π in3 16π in3 24π in3 32π in3

Valpey
 one year ago
Best ResponseYou've already chosen the best response.0You need to solve for the total volume of the cylinder, then subtract the total volume of the marbles to get the total volume of the water.

Valpey
 one year ago
Best ResponseYou've already chosen the best response.0The volume of a cylinder is \(\pi r^2 h\) (r, the radius is half the diameter) The volume of a sphere is \(\frac{4}{3}\pi r^3\)

Valpey
 one year ago
Best ResponseYou've already chosen the best response.0What is the volume of the cylinder in terms of \(\pi\)?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0well pie is 3.14 right?

Valpey
 one year ago
Best ResponseYou've already chosen the best response.0It isn't necessary to use the numerical value of pi. You can leave everything in terms of pi. As in \(x = 15\pi\) or \(y = \frac{2}{3}\pi\).

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh ok well idk what the radius is but they tell us the height

Valpey
 one year ago
Best ResponseYou've already chosen the best response.0The radius is half the diameter by definition.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh ok so the radius would be 2?

Valpey
 one year ago
Best ResponseYou've already chosen the best response.0Yes, the radius of the cylinder is 2.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok so it would be π2^2*8

Valpey
 one year ago
Best ResponseYou've already chosen the best response.0Yes, what is that equal to?

Valpey
 one year ago
Best ResponseYou've already chosen the best response.0Not quite. Let's still leave it in terms of pi. Let's just resolve \(2^2 * 8\).

Valpey
 one year ago
Best ResponseYou've already chosen the best response.0I think you did \((\pi*2)^2 * 8\) when you meant to do \(\pi*(2)^2 * 8\). Still, we don't actually need to multiply by pi.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and yeah thats what i did
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