precalculus

A can with the ratio of the height of the radius is 4 to 1.
a. express the volume of the can as a function of the radius, r.
b. express the volume of the can as a function of the height, h.
c. if you want the can to have a volume of 100cm cubed, what does the height have to equal (to the nearest thousandth)?

  1. 👍 0
  2. 👎 0
  3. 👁 188
asked by cheryl

Respond to this Question

First Name

Your Response

Similar Questions

  1. calculus inverted cone

    A container in the shape of an inverted cone has radius 6 ft and height 12 ft. It is being drained at 2〖ft〗^3/min. Find the rate of change of the height of the liquid in the cone when the height is 3 feet. The ratio of the

    asked by George on November 11, 2014
  2. Precalculus

    How do you setup the equation for this? Thanky ou! Find the ratio of the surface area of a cylinder to the volume of the cylinder if the height remains at 10 cm. Simplify this ratio and let f(x) = the simplified ratio. Let r be

    asked by melinda on January 12, 2012
  3. Math

    How to setup this equation? Find the ratio of the surface area of a cylinder to the volume of the cylinder if the height remains at 10 cm. Simplify this ratio and let f(x) = the simplified ratio. Let r be the radius of the

    asked by melinda on January 15, 2012
  4. math

    The ratio of the volume to the lateral area of a right circular cone is 2:1. If the altitude is 15cm, what is the ratio of the slant height to the radius?

    asked by kitOy on February 19, 2012
  5. CALC

    please help me...for the power series summation of n^4x^n/2(n-1)factorial....find the radius and interval of convergence... so far i am guessing that radius is equal to x and interval of convergence is (-infinty to positive

    asked by Maria on May 7, 2007
  6. math

    A right circular cylinder is to be inscribed in a sphere of given radius. Find the ratio of the height to the base radius of the cylinder having the largest lateral area.

    asked by Jus on January 11, 2014
  7. Math

    1. Determine whether the two figures are similar. If so, give the similarity ratio of the smaller figure to the larger figure. The figures are not drawn to scale. Figure One: (CYLINDER) Height is 9.9 and radius is 1.3 Figure Two:

    asked by Tim on May 24, 2016
  8. Calculus I

    *Optimization problem* [I don't know how to get to the answer] Problem: You have a cylindrical can with radius 4cm and height 10cm. Inside is a marble with a radius that has to be larger than 0 but less than 4 cm (even the largest

    asked by Ken on November 12, 2012
  9. Geometry Help

    Out of 60 review questions I struggled with these ones. Someone please help!! 1.) The length of one side of a regular polygon is half the length of a similar polygon. What is the ratio of their areas? a.)1/2 b.)1/4 c.)1 2.)A

    asked by Ariel on June 12, 2010
  10. Physics

    Suppose that the ratio of the Moon's mass to the Earth's mass is given by 1.200E-2 and that the ratio of the Moon's radius to the Earth's radius is given by 2.700E-1. Calculate the ratio of an astronaut's Moon-weight to

    asked by Lindsay on December 16, 2007

More Similar Questions