The volume and the surface area of the hemisphere in terms of π are 3888π in³ and 972π in² respectively.
How to find the volume and surface area of a hemisphere:
The volume of a hemisphere can be found using the formula given below:
Volume = (2/3)πr^3
The surface area of a hemisphere can be found using the formula given below:
Surface Area = 3πr^2
We can find the volume and surface area as shown below:
The figure is provided. From the figure, we can see that the radius of the hemisphere is 18 inches.
The volume of the hemisphere can be found as shown below:
Volume = (2/3)π*18*18*18 in³
= 3888π in³
The surface area of a hemisphere can be found as shown below:
Surface Area = 3π*18*18 in²
= 972π in²
We have found the volume and the surface area of the hemisphere. The volume and the surface area of the hemisphere are 3888π in³ and 972π in² respectively.
Therefore, we have found that the volume and the surface area of the hemisphere in terms of π are 3888π in³ and 972π in² respectively. The correct answer is option B.
Learn more about hemispheres here: https://brainly.com/question/333717
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