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Spherical Geometry Explored: Hemispheres and Their Measures (课程)

A Deep Dive into Calculating Surface Area and Volume

所有级别 • 11 讲座 • 终身无限畅学
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Spherical Geometry Explored: Hemispheres and Their Measures
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53分
总内容

你将学到什么

What is meant by Hemisphere?
What is the formula for calculating the curved surface area of hemisphere?
How can we calculate the total surface area of hemisphere?
What is the formula for calculating the volume of a hemisphere? How it is related to the volume of sphere?

课程内容

2 部分 • 11 讲座 • 00:53:01 总长度

Introduction

02:12
After going through this course, the students will understand:
  1. What is meant by Hemisphere?
  2. What is the meaning of Sphere?
  3. What is the difference between Sphere and Hemisphere?
  4. How many faces sphere and hemisphere have?
  5. What are the examples of Hemispheres in the real world?
  6. What is the formula for calculating the curved surface area of hemisphere?
  7. How can we calculate the total surface area of hemisphere?
  8. What is the formula for calculating the volume of a
hemisphere? How it is related to the volume of sphere?

Calculating Curved Surface Area of Hemisphere from radius

02:16

How to find the curved surface area of a hemisphere when radius is given?

Calculating total surface Area of hemisphere from radius

03:31

How to calculate the total surface area of a hemisphere when radius is given?

Calculating outer curved surface area

04:14

How to calculate the outer curved surface area of hemispherical bowl when the thickness and inner radius of the bowl are given?

Volume of Hemisphere

03:06
  1. What is the formula to calculate the volume of hemisphere?
  2. How to calculate the volume of a hemisphere when radius is given?

Hemisphere: Meaning and Surface Area

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07:17
  1. What is the meaning of Hemisphere?
  2. Which are some examples of hemispheres in the real world?
  3. What is the difference between Sphere and Hemisphere?
  4. How many faces a sphere has?
  5. What is the formula for calculation of a curved surface area of a hemisphere?
How we can calculate the total surface area of a hemisphere?

Calculating quantity of milk in hemispherical bowl

05:29

How to calculate the quantity of milk (in liters) a hemispherical bowl can hold when the diameter of the bowl is given in cm?

Calculating volume of water in hemispherical bowl

03:38

How to calculate the volume of water the hemispherical bowl would contain when the diameter of bowl is given?

Calculating the volume of iron used to make tank

06:13

How to calculate the volume of iron used to make the hemispherical tank when the inner radius of tank and thickness of iron sheet are given?

Calculating cost of tin-plating hemispherical bowl

07:19

How to calculate the cost of tin-plating the hemispherical bowl on the inside when the rate of tin-plating and inner diameter of hemispherical bowl are given?

Calculating inner surface area and volume of dome

07:38

How to calculate the inner surface area of dome and volume of air inside the dome when the total cost and rate of whitewashing the inside of dome are given?

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要求

Basic knowledge of Algebra and Geometric concepts

目标受众

Students and any individual who enjoys learning about various mathematical concepts

关于本课程

  • What is the meaning of Hemisphere?
  • Which are some examples of hemispheres in the real world?
  • What is the difference between Sphere and Hemisphere?
  • How many faces a sphere has?
  • What is the formula for calculation of a curved surface area of a hemisphere?
  • How we can calculate the total surface area of a hemisphere?
  • How to find the curved surface area of a hemisphere when radius is given?
  • How to calculate the total surface area of a hemisphere when radius is given?
  • How to calculate the cost of tin-plating the hemispherical bowl on the inside when the rate of tin-plating and inner diameter of hemispherical bowl are given?
  • How to calculate the outer curved surface area of hemispherical bowl when the thickness and inner radius of the bowl are given?
  • What is the formula to calculate the volume of hemisphere?
  • How to calculate the volume of a hemisphere when radius is given?
  • How to calculate the volume of water the hemispherical bowl would contain when the diameter of bowl is given?
  • How to calculate the quantity of milk (in liters) a hemispherical bowl can hold when the diameter of the bowl is given in cm?
  • How to calculate the volume of iron used to make the hemispherical tank when the inner radius of tank and thickness of iron sheet are given?
  • How to calculate the inner surface area of dome and volume of air inside the dome when the total cost and rate of whitewashing the inside of dome are given?

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