Seshu cheera

Class 10 CBSE Maths Chapter 13: Surface Areas and Volumes , including: ✅ Key Concepts & Formulas 📘 All NCERT Exercise Questions with detailed solutions 📝 CBSE Previous Year Questions from this chapter 📚 Chapter 13: Surface Areas and Volumes This chapter explores the curved surface area (CSA) , total surface area (TSA) , and volume of 3D solids, including cylinders , cones , spheres , hemispheres , frustums , and composite solids . 🧠 Key Concepts and Formulas 🔸 1. Right Circular Cylinder Let r r = radius, h h = height CSA = 2 π r h 2\pi rh TSA = 2 π r ( h + r ) 2\pi r(h + r) Volume = π r 2 h \pi r^2 h 🔸 2. Right Circular Cone Let r r = radius, h h = height, l l = slant height Where l = r 2 + h 2 l = \sqrt{r^2 + h^2} CSA = π r l \pi r l TSA = π r ( l + r ) \pi r(l + r) Volume = 1 3 π r 2 h \frac{1}{3} \pi r^2 h 🔸 3. Sphere Let r r = radius Surface Area = 4 π r 2 4\pi r^2 Volume = 4 3 π r 3 \frac{4}{3} \pi r...

✅ Class 10 Maths Chapter 12: Areas Related to Circles 📚 Chapter Overview: This chapter helps students apply the properties of circles to find the area and perimeter (circumference) of sectors , segments , and composite figures involving circles. It blends geometry and mensuration skills for real-life applications. 🧠 Key Concepts, Formulas, and Theorems: 🔹 1. Circle: A closed two-dimensional figure where all points are equidistant from a fixed point (center). Radius (r): Distance from center to any point on the circle. Diameter (d): Twice the radius, i.e., d = 2 r d = 2r Circumference: Total boundary length of the circle Circumference = 2 π r \text{Circumference} = 2\pi r 🔹 2. Area of a Circle: Area = π r 2 \text{Area} = \pi r^2 Where π = 22 7  or  3.14 \pi = \frac{22}{7} \text{ or } 3.14 🔹 3. Sector of a Circle: A sector is a portion of a circle enclosed by two radii and the arc between them. Area of Sector : θ 360 ∘ × π r 2 \frac{\th...

  The Human Eye and the Colourful World Class 10 Notes Attention Class 10 students! Chapter 11 – "The Human Eye and the Colourful World" is not just about vision—it's your gateway to mastering one of the most intriguing topics in CBSE Science. From understanding how our eyes work to exploring the science behind rainbows and sunsets, these NCERT-based notes are designed to simplify complex concepts and boost your exam readiness for 2024–25. Get set to explore the wonders of light, refraction, and the vibrant world around you—let’s begin the journey! Subject Science Class 10 Board CBSE & State Boards Chapter No. 10 Chapter Name The Human Eye and the Colourful World Type Notes Session 2025-26 Table of Contents The Human Eye Power of Accommodation Defects of Vision and Their Correction 1. Myopia 2. Hypermetropia 3. Presbyopia Refraction of Light Through a Prism Dispersion of White Light by a Glass Prism Recombination of White Light Rainbow Formation Atmospheric Refraction...