Each chapter begins with a crisp theoretical foundation (formulas, properties, and theorems) followed by a graded set of problems—from basic NCERT level to the most twisted SSC CGL Tier-2 questions.
Volume, curved surface area (CSA), and total surface area (TSA) of prisms, pyramids, cones, cylinders, and spheres. gagan pratap advance maths complete class notes exclusive
Unlike traditional methods, Gagan Sir’s notes start with the "Digit Sum" (Beejank) method. The notes cover: Each chapter begins with a crisp theoretical foundation
What is your in advanced mathematics (beginner, intermediate, or advanced)? Share public link The notes cover: What is your in advanced
Explanation: $R + r = 14$. $\pi(R^2+r^2) = 130\pi$. $R^2+r^2 = 130$. $(R+r)^2 = R^2+r^2 + 2Rr \implies 196 = 130 + 2Rr \implies 2Rr = 66 \implies Rr = 33$. Numbers summing to 14 and product 33 are 11 and 3. Smaller radius = 3 cm.