Problem

What is the volume of a hemisphere with a diameter of 4.4ft, rounded to the nearest tenth of a cubic foot?

Answer

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Answer

Final Answer: 22.3 cubic feet, rounded to the nearest tenth

Steps

Step 1 :Given diameter = 4.4 ft, find the radius: r=d2=4.42=2.2 ft

Step 2 :Find the volume of a sphere with radius 2.2 ft: Vsphere=43πr3=43π(2.2)3

Step 3 :Calculate the volume of the hemisphere: Vhemisphere=Vsphere2

Step 4 :Vhemisphere=43π(2.2)32

Step 5 :Final Answer: 22.3 cubic feet, rounded to the nearest tenth

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