Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

A balloon which always remains spherical is being inflated by pumping in gas at the rate of 900 cm3/sec. Find the rate at which the radius of the balloon is increasing when the radius of the balloon is 15 cm.

A balloon which always remains spherical is being inflated by pumping in gas at the rate of 900 cm3/sec. Find the rate at which the radius of the balloon is increasing when the radius of the balloon is 15 cm.

Grade:Upto college level

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
6 years ago
Hello student,
Let r and V be varaibles for radius and volume respectively
(dv/dt)=900
v=(4/3)\pi r^{3}
(dv/dt)=4\pi r^{2}(dr/dt)
dr/dt=(dv/dt)/4\pi r^{2}=(900)/4\pi(15)(15)
so dr/dt=(1/\pi) cm/sec
Thanks and Regards
Shaik Aasif
askIITians faculty

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free