Question
Asked Nov 27, 2019
11 views
If a snowball melts so that its surface area decreases at a rate of 1cm /min, find the rate at which the diameter decreases when the
diameter is 10cm
cm/min
help_outline

Image Transcriptionclose

If a snowball melts so that its surface area decreases at a rate of 1cm /min, find the rate at which the diameter decreases when the diameter is 10cm cm/min

fullscreen
check_circle

Expert Answer

Step 1

Diameter= D

Radius = r =D/2

Surface area = A= 4pi*r^2

Given dA/dt= -1 cm^2/min (negative because decreasing) 

Find dD/dt=?

 

Step 2

Find surface area A in terms of D. ...

A=47r2
2
A-4T
2
A 47
4
A=rD2
help_outline

Image Transcriptionclose

A=47r2 2 A-4T 2 A 47 4 A=rD2

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus