Purchase Solution

Writing Equations from Word Problems : Volume and Radius of a Sphere ( Balloon )

Not what you're looking for?

Ask Custom Question

A balloon is inflated in such a way that is volume increases at a rate of 20cm^3/s.

a. If the volume of the balloon was 100cm^3 when the process of inflation began what will the volume be after t seconds of inflation

b. Assuming that the balloon is spherical while it is being inflated, express the radius r of the balloon as a function of t.

Purchase this Solution
Solution Summary

This solution shows the student how equations for volume and radius of a sphere ( Balloon ) are found from a word problem.

Purchase this Solution
Free BrainMass Quizzes
Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Multiplying Complex Numbers

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

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Probability Quiz

Some questions on probability

Exponential Expressions

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

View More Free Quizzes
Related BrainMass Solutions

  • It's Not New, It's Recycled

    The equation V=4/3 πr^3 is the formula for the volume of a sphere with a radius, r, in inches. Use this equation to write the function r(V) which represents the radius of the spherical balloon as a function of the volume, V. 28.

  • Application of Derivatives and Differentiation : Rate of Change of Volume of a Sphere ( Balloon )

    52737 Application of Derivatives and Differentiation : Rate of Change of Volume of a Sphere ( Balloon ) Air is being pumped into a spherical balloon so that the radius is increasing at the rate of dr/dt = 3 inches per second.

  • Buoyant force and surface value

    33646 Buoyant force and surface value Derive an expression for the buoyant force on a spherical balloon, submerged in water, as a function of the depth below the surface, the volume of the balloon at the surface, the pressure at the surface, and the density

  • Using Calculus for the Weather Balloon Problem

    Balloon B has been removed from service and the radius of the balloon is decreasing at a rate of 2/pi feet per second. Find the rate at which the volume is decreasing when the radius of Balloon B is 2 feet. Given: V = 4/3 pi r^3 C.

  • Algebra equations

    The radius, r, of a sphere with volume V is given by the formula r= . If a sphere has radius 5 inches, what is its volume? 8. Solve for x: Please see attachments for all equations Please see the attachment. (Word format) 1.

  • Charges, spherical shell, and charge density

    The volume of a sphere is 4/3 pi r^3 let R2 be the outer radius and R1 the inner radius the volume between these is 4/3 pi (R2^3 - R1^3).

  • area of the rectangle

    Note the volume of a sphere with radius R is V=4/3(pi)R^3 The increase in volume is equal to _____________ cm^3 3. A rectangle has its base lying on the x axis and its upper corners on the parabola y=38â?'x^2.

  • Finding the volume of hydrogen

    23768 Finding the volume of hydrogen A hydrogen filled balloon of the type used in cosmic ray studies is to be expanded to its full size which is a 100-ft diameter sphere, without stress in the wall at an altitude of 150,000 ft.

  • Perfect (ideal) gases

    40218 Perfect (ideal) gases (4 part question) Suppose your balloon has a radius of 3 m and that it is a spere when inflated. a.) how much H is needed to inflate it to a pressure of 1 atm at an ambient T of 25 celsius @ sea level?

View More Related Solutions