Hemisphere
Definition Of Hemisphere
Hemisphere is the exact half of a sphere.
More About Hemisphere
When a plane cuts across a sphere at its center, it forms two hemispheres
Surface area of a hemisphere of radius r is given by 2pr2
Volume of a hemisphere of radius r is given by 2/3pr3
Video Examples: Hemisphere
Example of Hemisphere
The upper and lower parts of the sphere are equal halves.
Solved Example on Hemisphere
Ques: Which of these shows a hemisphere?
Choices:
A. Figure 2
B. Figure 1
C. Figure 4
D. Figure 3
Correct Answer: D
Solution:
Step 1: Hemisphere is the exact half of a sphere.
Step 2: The figure shown in Figure 1 is a cone. So, Figure 1 is not a hemisphere
Step 3: The figure shown in Figure 2 is a circle. So, Figure 2 is not a hemisphere
Step 4: The figure shown in Figure 3 is exactly the half of a sphere. So, Figure 3 is a hemisphere
Step 5: The figure shown in Figure 4 is a cylinder. So, Figure 4 is not a hemisphere
Step 6: So, Figure 3 is the hemisphere as it is exactly half of the sphere.