Problem: Air is blown into a spherical balloon so that when its radius is 6.50 cm its radius is increasing at the rate 0.900 cm/s. (a) Find the rate at which the volume of the balloon is increasing. (b) If this volume flow rate of air entering the balloon is constant at what rate will the radius be increasing when the radius is 13.0 cm? (c) Explain physically why the answer to part (b) is larger or smaller than 0.9 cm/s if it is different.

FREE Expert Solution
Problem Details

Air is blown into a spherical balloon so that when its radius is 6.50 cm its radius is increasing at the rate 0.900 cm/s. (a) Find the rate at which the volume of the balloon is increasing. (b) If this volume flow rate of air entering the balloon is constant at what rate will the radius be increasing when the radius is 13.0 cm? (c) Explain physically why the answer to part (b) is larger or smaller than 0.9 cm/s if it is different.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Geometry & Trigonometry concept. If you need more Geometry & Trigonometry practice, you can also practice Geometry & Trigonometry practice problems.