SOLUTION: Suppose the spread of an oil leak from a tanker can be approximated by a circle with the tanker at its center and radius r, in feet. The radius of the spill t hours after the begin

Question 1076372: Suppose the spread of an oil leak from a tanker can be approximated by a circle with the tanker at its center and radius r, in feet. The radius of the spill t hours after the beginning of the leak is given by
r(t) = 48t.
(a) Find the area of the spill as a function of time.
A(t) = ........

(b) What is the area of the spill after 8 h? Round to the nearest whole number.
............ ft2
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

The area of a circle is given by

Since your radius is

, your area must be

You can simplify as required.

To find the area at 8 hours, erase the

and replace it with an 8. Then do the indicated arithmetic. Since the radius was given in feet and during the calculation of the Area you squared the radius, the answer must be expressed in square feet. Your answer should be more than 450,000 square feet and less than 500,000 square feet.

John

My calculator said it, I believe it, that settles it

RELATED QUESTIONS
Suppose the spread of an oil leak from a tanker can be approximated by a circle with the... (answered by Boreal)

an oil tanker can be filled in 10 hours from one pipe. It can be filled by another pipe... (answered by edjones)

Stopping an Oil Tanker: It has been shown that if an oil tanker stops its engines, then... (answered by ankor@dixie-net.com)

An oil tanker with engine trouble radios the mainland for a seagoing tugboat. At the time (answered by Fombitz)

An Oil Tanker can be filled in 10 hrs from one pipe. It can be filled by another... (answered by checkley77)

Hello Tutors, I am having trouble answering two questions: 1. An oil tanker can be (answered by addingup)

An oil tanker can be filled in 18h using one pump and 15h using a different pump. If both (answered by Alan3354)

An oil tanker can be emptied by a main pump in 4hours an auxiliary pump can empty it in 9 (answered by josmiceli)

an oil tanker can be emptied by the main pump in 4 hours. an auxiliary pump can empty the (answered by stanbon)