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Sagot :
Answer:
The cone has a height of 10 and a diameter of 6. This means it has a radius of 3.
The volume of any cone is (1/3)πr2h. Therefore the volume of this cone would be (1/3)π(3)2(10) or 30π units3.
The hemisphere has a diameter of 6. This means it also has a radius of 3.
The volume of any sphere is (4/3)πr3. A hemisphere would be half that or (2/3)πr3. Therefore the volume of this hemisphere is (4/3)π(3)3 or 36π units3.The total volume would be 30π + 36π or 66π units3. The decimal approximation is 207.35 units3.
Explanation:
Cone: V = (1/3)πr2H
V = (1/3)π(3)2(10)
V = (1/3)π(90)
V = 30π
Hemisphere: V = (1/2)(4/3)πr3
V = (2/3)π(6)3
V = (2/3)π(216)
V = 144π
Total Volume = 30π + 144π = 174π
V ≈ 546.64 units3
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