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A student is trying to calculate the density of a ball. She already knows the mass, but she needs to determine the volume as well. Which of the following formulas can be used to calculate the volume of the ball?
1. V= 4/3 πr^3
2. V=1/3 πr^2h
3. s^3
4. πr^2h

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