SOLUTION: For the following exercise, determine the function described and then use it to answer the question. The surface area, A, of a cylinder in terms of its radius, r, and height, h, i

Algebra.Com
Question 1127875: For the following exercise, determine the function described and then use it to answer the question.
The surface area, A, of a cylinder in terms of its radius, r, and height, h, is given by A = 2πr^2 + 2πrh. If the height of the cylinder is 4 feet, express the radius as a function of V and find the radius if the surface area is 360ft.

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
determine the function described and then use it to answer the question.
The surface area, A, of a cylinder in terms of its radius, r, and height, h, is given by A = 2πr^2 + 2πrh.
If the height of the cylinder is 4 feet, express the radius as a function of V
the volume of a cylinder:
h = 4 ft


or
:
and find the radius if the surface area is 360ft.

simplify, divide by 2

divide both sides by pi


a quadratic equation
= 0
Use the quadratic formula, a=1; b=4; c=-57.3
Positive solution
r = 5.83 ft is the radius
RELATED QUESTIONS

Maths question help 5. Derive a formula for finding the Surface Area as a function of... (answered by richard1234)
Use the quadratic formula to determine the x-intercepts (if any) of the following... (answered by ankor@dixie-net.com)
Use the five-step strategy for solving word problems to find the number or numbers... (answered by Boreal)
The functions(t)=16t^2 models the distance, s(t), in feet that an object falls in t... (answered by Alan3354)
Find a polynomial that represents the total surface area of the right circular cylinder... (answered by math-vortex)
Find the radius as a function of volume, and use this to get surface area as a... (answered by Alan3354)
Background info: Imagine you are trying to maximize the calories you burn in a 60-minute... (answered by greenestamps,ikleyn)
Use the five-step strategy for solving word problems to find the number or numbers... (answered by JulietG)
This states to use the quadratic formula to determine the x-intercepts of the following... (answered by Alan3354)