Question 1011105
formula is v = a * l
v = volume
a = area of the base
l = height


question 1:


how high up the side will the water go?


if the area of the base is 20 cm^2, then the formula becomes:


v = 20 * l


if the volume is 400 cm^3, then the formula becomes:


400 = 20 * l


solve for l to get l = 400 / 20 = 20 cm.


that's how high up the side of the bottle that the water will go.


question 2:


for a constant volume, how does the height change as the area of the base increases?


the formula is v = a * l


solve for l to get l = v/a


if the volume remains constant and the area of the base increases, the height will decrease.


question 3:


how will the volume of the water bottle change if the height remains constant but the area of the base decreases?


the formula is v = a * l


if the height remains constant and the area of the base decreases, the volume will decrease.


problem 4:


write a formula that expresses l as a function of V and A.


the formula is v = a * l


divide both sides of the formula by a and you get l = v / a