Hemisphere Surface Area Practice Questions
High Order Thinking Skills Questions are very important to hone your understanding and conceptual clarity about the topic. Solve the following HOTS questions on Surface Area of a Hemisphere to build conceptual confidence:
Question 1: A dome-shaped building has a radius of 10 meters. The dome is painted on both the inside and the outside. What is the total area that gets painted? How would the paint required change if the radius of the dome was increased by 10%?
Question 2: A company manufactures hemispherical bowls with a radius of 5 cm. If the cost of the material used to make the bowl is proportional to its surface area, how would the cost change if the company decided to manufacture bowls that are 20% larger in radius?
Question 3: A planet is approximately a sphere. If we consider the Northern Hemisphere, what would be the change in its surface area if the radius of the planet increased by 1%?
Question 4: A hemispherical tank with a radius of 2 meters is used to store water. If the tank is expanded by increasing its radius by 50%, how much more water can it store? How does this relate to the change in the surface area of the tank?
Question 5: An igloo is built in the shape of a hemisphere. If the radius of the igloo is doubled, how does this affect the surface area of the igloo? How would this change affect the amount of ice needed to build the igloo?
Surface Area of a Hemisphere
A hemisphere is a 3D shape that is half of a sphere’s volume and surface area. The surface area of a hemisphere comprises both the curved region and the base area combined.
- Hemisphere’s Total Surface Area (TSA) = Curved Surface Area + Base Area = 3πr² square units.
- Curved Surface Area (CSA) = 2πr² square units.
In this article, we will learn in detail about the calculation of volume and surface areas of a hemisphere, its derivation, and some solved examples.
Table of Content
- What is a Hemisphere?
- What is Surface Area of a Hemisphere?
- Curved Surface Area of Hemisphere Formula
- Total Surface Area of a Hemisphere Formula
- Surface Area of a Hollow Hemisphere Formula
- How to Find Surface Area of a Hemisphere?
- Summary of Surface Area of Hemisphere