3D Shapes Unveiled: Sphere, Hemisphere, Cone, Cuboid, & Cube

Shaping Your Understanding: 3D Spheres, Cones, Cuboids, and More

What you'll learn

How to calculate the surface area and volume of sphere?

If the radius of a sphere is doubled, what will happen to its surface area?

How to calculate the curved surface area and total surface area of a hemisphere?

How to calculate the surface area of a cone by making use of the height, radius, and slant height of the cone?

What is the formula to calculate the total surface area and curved surface area of a cube?

How to calculate the volume, total surface area, and lateral surface area of a cuboid.

Requirements

Basic knowledge of Algebra and Geometric concept

Description

1. What is meant by Sphere?2. What is the difference between Sphere and Hemisphere?3. How many faces does a sphere and hemisphere have?4. What are the examples of spheres in the real world?5. What is the formula for calculating the surface area of sphere?6. If the radius of a sphere is doubled, what will happen to its surface area?7. How can we calculate the volume of a sphere?8. What is meant by Hemisphere?9. What are the examples of Hemispheres in the real world?10. What is the formula for calculating the curved surface area and total surface area of a hemisphere?11. What formula is used to determine the volume of a 12. Hemisphere and how is it related to the volume of sphere?13. What is the meaning of a Cone?14. How to calculate the surface area of a cone by making use of the height, radius, and slant height of the cone?15. What is the relationship between height, radius and16. Slant height of a cone?17. How to calculate the cost of the canvas required to make the tent?18. How to calculate the cost of white-washing the curved surface of a cone?19. What is the difference between Right Circular cone and Oblique cone. 20. What is meant by height and slant height of a right circular cone. 21. What is the formula to calculate the slant height of a right circular cone, and22. The students will understand with the help of examples as to how they can calculate the volume of a cone.23. What is the meaning of a cube?24. What are the various properties of a cube?25. What is the formula to calculate the total surface area and curved surface area of a cube?26. How a cube is different from a cuboid?27. What are the real world examples of cubes?28. How to calculate the volume of a cube?29. What a cuboid is.30. How to calculate the volume, total surface area, and lateral surface area of a cuboid.31. How to calculate the area of four walls of a room. 32. How to calculate the length of diagonal of a cuboid.

Overview

Section 1: Introduction

Lecture 1 Introduction

Section 2: Sphere of Surface Area & Volume Unveiled: Basics and Calculation

Lecture 2 Sphere Surface Area Introduction

Lecture 3 Meaning and Surface Area

Lecture 4 Calculating Surface Area of Sphere from radius

Lecture 5 Calculating Surface Area of Sphere from diameter

Lecture 6 Ratio of surface area of two balloons

Lecture 7 Calculating radius from surface area

Lecture 8 Ratio of surface area of moon vs. Earth

Lecture 9 Sphere Volume Introduction

Lecture 10 Meaning and Volume

Lecture 11 Calculating Volume of sphere from radius

Lecture 12 Calculating amount of water displaced by spherical ball

Lecture 13 Calculating amount of water displaced by solid sphere

Lecture 14 Calculating the mass of spherical ball

Lecture 15 Calculating volume of Moon vs. Earth

Lecture 16 Calculating volume of sphere from surface area

Lecture 17 Calculating medicine needed to fill capsule

Lecture 18 Calculating radius of new sphere

Section 3: Spherical Geometry Explored: Hemispheres and Their Measures

Lecture 19 Introduction

Lecture 20 Hemisphere : Meaning and Surface Area

Lecture 21 Calculating Curved Surface Area of Hemisphere from radius

Lecture 22 Calculating total surface Area of hemisphere from radius

Lecture 23 Calculating cost of tin-plating hemispherical bowl

Lecture 24 Calculating outer curved surface area

Lecture 25 Volume of Hemisphere

Lecture 26 Calculating volume of water in hemispherical bowl

Lecture 27 Calculating quantity of milk in hemispherical bowl

Lecture 28 Calculating the volume of iron used to make tank

Lecture 29 Calculating inner surface area and volume of dome

Section 4: Beyond Basics: Calculating Cone Surface Area & Volume with Precision

Lecture 30 Cone Surface Area Introduction

Lecture 31 Cone : Meaning and Types

Lecture 32 Curved Surface Area and Total Surface Area of a Cone

Lecture 33 Calculating Curved Surface Area

Lecture 34 Calculating Total Surface Area

Lecture 35 Calculating radius and Total surface area

Lecture 36 Calculating slant height and cost of canvas of tent

Lecture 37 Calculating the length of tarpaulin required to make conical tent

Lecture 38 Calculating cost of white washing curved surface of conical tomb

Lecture 39 Calculating area of sheet required to make jocker’s cap

Lecture 40 Calculating the cost of painting hollow cones

Lecture 41 Cone Volume Introduction

Lecture 42 Volume of a Right Circular Cone

Lecture 43 Calculating Volume of Cone

Lecture 44 Calculating the volume of tent

Lecture 45 Calculating the volume of right circular cone

Lecture 46 Calculating the volume of right circular cone

Lecture 47 Calculating the capacity of conical vessel

Lecture 48 Calculating the capacity of Conical Vessel

Lecture 49 Calculating the radius of cone

Lecture 50 Calculating the capacity of conical pit

Lecture 51 Calculating volume of the solid

Lecture 52 Calculating area of canvas

Section 5: Cube Geometry Demystified: From Surfaces to Space

Lecture 53 Introduction

Lecture 54 Cube: Meaning, Properties, TSA, CSA and Volume

Lecture 55 Calculating Total surface area of a cube

Lecture 56 Calculating the length of each side

Lecture 57 Calculating curved surface area and volume of cube

Lecture 58 Calculating cost of outer tiles of water tank

Lecture 59 Lateral surface area of cube vs. cuboid

Lecture 60 Total surface area of cube vs. cuboid

Section 6: Simplifying Cuboid Math: Mastering the Basics with Ease

Lecture 61 Introduction

Lecture 62 Meaning and Volume of cuboid

Lecture 63 Surface area of cuboid

Lecture 64 Lateral Surface area of cuboid

Lecture 65 Area of four walls of a room

Lecture 66 Length, width or height of a cuboid

Lecture 67 Diagonal of cuboid

Students and any individual who enjoys learning about various mathematical concepts