In Exercises 35–54, solve each formula for the specified variable...

Question

In Exercises 35–54, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe?

V = (1/3)Bh for B

Accepted Answer

Welcome back. I'm so glad you're here. We've got this formula. I'll rewrite it. Big V equals one third times pi times R squared times H. And we are to solve for H. We want to get this H by itself. So as we said that H is being multiplied by the one third. The pi and R squared. So how do we get all those other numbers to the other side? So the H is by itself? Well, we want to do the opposite of that multiplication. We want to divide. So we're going to divide by the terms. We want to move over, divide by one third, pi R squared. What we do to one side. We have to do to the other. So divide V by one third, pi R squared. And now on the right hand side, one third divided by one third. Well, that's just one. They cancel out, pi divided by pi is one. They cancel out our square divided by R squared. Is one. They cancel out. And we have a church by itself exactly as we wanted. The left hand side is big V divided by and then the denominator is one third times pi R squared. We look at our answer choices and this matches with answer choice D. And this is in fact the volume of a cone formula. Well done. We'll catch you on the next one

In Exercises 35–54, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? V = (1/3)Bh for B

Key Concepts

Volume of a Pyramid

Algebraic Manipulation

Geometric Interpretation

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