Lucy fills a bathroom sink with water. Is the amount of water more than 1 liter, about 1 liter or less than 1 liter? Explain how you know.

Question
Answer:
Proposed Answer
Much more than 1 liter.

Make a guess.
Suppose the bathroom sink is about 15 inches across. That's actually not very big for a bathroom sink. But it makes up for the other estimate I'm going to make. 

Suppose the sink is 7 1/2 inches deep at it's deepest point. So what you have is a 1/2 sphere. Figure this out in ccs. That way you have a simple conversion to make.

Conversion
1 in = 2.54 cm
7 1/2 in = x       Cross multiply

x * 1 inch= 7 1/2 * 2.54
x  =  6.5 * 2.54
x = 19.05 cm

x is actually the radius of the 1/2 sphere.
pi = 3.14
r = x = 19.05 cm

V = (4/3) pi * 19.05^3 / 2
V =  86831 / 6
V = 14471 ccs

1 L = 1000 cc
x  =    14471 cc

x = 14.471 Liters. That's 14.5 times bigger than 1 Liter. Most sinks are about 7 1/2 inches deep but they are more across than 15 inches. So my answer is much  more than 1 Liter.  <<<<< Answer

Answer much more than a liter.
solved
algebra 9 months ago 5152