[Video] Q9: What is the value of k, in centimeters?

Explanation for Question 9 From the Math (Calc) Section on the Official Sat Practice Test 8

So question number nine is asking us to solve for K. 2 And now if you look earlier up in this problem where they give us 3 information about the glass, we can see that we get a formula for volume 4 that has K in it, right? So let's rewrite this formula where we have 5 V for volume is equal to seven PI K to the third, 6 all over 48. And so from this equation, 7 we can see that if we want to find K, 8 we're going to have to know the volume and luckily enough, 9 they give us the volume in the paragraph above the question, 10 right? They tell us that the maximum volume is 473 cubic centimeters 11 or 16 fluid ounces. And so perhaps one reason that this problem is a 12 little tricky is because they've given us volume, 13 but they've given us the volume in two different units. 14 And so one question could be, what unit do I want to use? 15 Should I use the 473 cubic centimeters or the 16 fluid ounces? 16 Now, if we look at what they want from us about the, 17 the variable K, we see that they want K in centimeters. 18 And so that centimeters tells us that we're going to choose the 473 cubic 19 centimeters as our volume. So we're not going to use 16 because that one 20 has the wrong units. So we can say 473 is equal to seven 21 PI K cubed all over 48. 22 And now we have our equation set up. We can just go about and 23 solve for K. First thing we can do is multiply both sides by 48. 24 That'll cancel out the denominator over here. 25 We have 48 times 473 is equal to seven PI K 26 to th...