Find the total surface area (in cm2) of a hemisphere of diameter 21 cm.
Answers
Answer:
693 cm^2
Step-by-step explanation:
the area surface of sphere is 4 π r2
a hemisphere is half of sphere
therefore,
the TSA of hemisphere is 2 π r2
given that the diameter is 21 cm. The radius is half of diameter. Therefore radius is 10.5 cm.
Applying the TSA formula of hemisphere
2×22/7× (10.5)2 = 693cm2
Given : Hemisphere with diameter = 21 cm
To Find : TSA and CSA
Solution:
Radius = Diameter / 2 = 21/2 cm
TSA = Total surface area
CSA = curved surface area
π = 22/7
TSA of hemisphere = 3πr²
= 3 (22/7) (21/2)²
= 3 (22) * (21 * 3) /4
= 33 * 63 /2
= 1039.5 cm²
CSA of hemisphere = 2πr²
= 2 (22/7) (21/2)²
= 2 (22) * (21 * 3) /4
=11 * 63
= 693 cm²
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