What is the surface area of the hemisphere with radius 9 cm in terms of π?
Answers
The surface area of a hemisphere with radius 9 cm in terms of π is 243 π cm².
Formula used:
Surface area of hemisphere = Curved surface area of hemisphere + area of base of hemisphere
Surface area of hemisphere = 2πr² + πr²
Surface area of hemisphere, S = 3πr²
Where ‘r’ is radius of the hemisphere
Given:
Radius (r) of the hemisphere = 9cm
To find:
The surface area of the hemisphere with a radius of 9 cm in terms of π.
Solution:
Step 1: Substitute the value of radius in the formula:
Surface area of hemisphere , S = 3πr²
S = (3 × π × 9 × 9)
S = 243 π cm²
Hence, the surface area of a hemisphere with radius 9 cm in terms of π is 243 π cm².
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