Purchase Solution

Calculus: Area and volume

Not what you're looking for?

Ask Custom Question

Please see the attached file for full problem description.

1. A solid is bounded by two bases in the horizontal planes z = h/2 and z = -1/2, and by such a surface that the area of every section in a horizontal plane is given by a formula of the sort

Area = a0 z3 + a1 z2 + a2 z + a3

(where as special cases some of the coefficients may be 0). Show that the volume is given by the formula

V = 1/6?h [B1 +B2 + 4M],

where B1 and B2 are the areas of the bases, and M is the area of the middle horizontal section. Show that the formulas for the volume of a cone and of a sphere can be included in this formula when a0 = 0

Purchase this Solution

Solution Summary

The function of area is given and the volume is calculated.

Purchase this Solution

Free BrainMass Quizzes
Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Probability Quiz

Some questions on probability

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts