How Fast Is the Surface Area Increasing? | Related Rates (Sphere) Calculus Problem

In this video, we solve a Related Rates problem in Calculus involving a sphere being inflated at a constant rate. You’ll learn how to find how fast the surface area of a balloon is increasing when the radius is given.

This lesson covers:
Related Rates in Calculus
Volume and Surface Area of a Sphere
Differentiation with respect to time
Step-by-step problem solving
Exam-style Calculus questions

📌 Question Solved:
A spherical balloon is inflated at a rate of 3 cm³/min.
Find the rate of increase of the surface area when the radius is 2 cm.

This topic is essential for:
AS & A Level Maths
Engineering Mathematics
AP Calculus
University Calculus
STEM students worldwide

🔔 If you’re preparing for exams or struggling with Calculus, this video breaks everything down clearly and logically.

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Keywords
related rates calculus, sphere related rates problem, rate of change surface area, calculus related rates examples, engineering mathematics calculus, balloon inflation calculus, differentiation with respect to time, volume and surface area calculus, applied calculus problems

Hashtags

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