Homework Help: Word Problem

Posted by coried on Wednesday, August 26, 2009 at 3:36pm.

The surface area of a balloon is given by S(r) = 4(pie)r^2, where r is the radius of the balloon. If the radius is increasing with time t, as the balloon is being blown up, according to the formula r(t)=4/5t^3,t>=0, find the surface area S as a function of the time t.

Word Problem - bobpursley, Wednesday, August 26, 2009 at 3:39pm
r= 4/5 t^3

S=4PI (4/5 t^3)^2 and then you simplify that.

Answer this Question

Related Questions

Calc - Air is being pumped into a spherical balloon so that its volume increases...
Pre-Calculus - The surface ares S (in square meters) of a hot air ballon is ...
MATHS help plizzz - A spherical balloon is being inflated and its radius is ...
Calculus - Air is being pumped into a spherical balloon so that its volume ...
Physics - I need help on two problems :P 1. A spherical balloon is partially ...
calculus - A spherical balloon is being inflated at a rate of 10 cubic inches ...
Calculus - A spherical balloon is being inflated at a rate of 10 cubic inches ...
Calculus - t: 0 2 5 7 11 12 r'(t): 5.7 4.0 2.0 1.2 0.6 0.5 The volume of a ...
calculus - Air is being pumped into a spherical balloon so that its volume ...
related rates problem-calculus - A spherical balloon is being filled with air in...

For Further Reading

First Name:
School Subject:
Answer: