Answer :
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)Ï€r2h. Therefore the volume of this cone would be (1/3)Ï€(3)2(10) or 30Ï€ 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)Ï€r3. A hemisphere would be half that or (2/3)Ï€r3. Therefore the volume of this hemisphere is (4/3)Ï€(3)3 or 36Ï€ units3.The total volume would be 30Ï€ + 36Ï€ or 66Ï€ units3. The decimal approximation is 207.35 units3.
Explanation:
Cone: V = (1/3)Ï€r2H
V = (1/3)Ï€(3)2(10)
V = (1/3)Ï€(90)
V = 30Ï€
Hemisphere: V = (1/2)(4/3)Ï€r3
V = (2/3)Ï€(6)3
V = (2/3)Ï€(216)
V = 144Ï€
Total Volume = 30Ï€ + 144Ï€ = 174Ï€
V ≈ 546.64 units3