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*please help I can't figure out were to start*

Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 2000/3 pi in³. One day, her sink clogged. She has to use one of two conical cups to scoop the water out of the sink. The sink is completely full when Carissa begins scooping.

(a) One cup has a diameter of 4 in. and a height of 8 in. How many cups of water must Carissa scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.

(b) One cup has a diameter of 8 in. and a height of 8 in. How many cups of water must she scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.

Respuesta :

taskmasters
The volume of a cone is calculated through the equation below,
                                 V = πD²h / 12
where V is volume, D is diameter and h is height. 

To determine the number of cups, we divide the sink volume by the volume of the cup,

(a.)   V = π(4 in)²(8 in) / 12 = 32π/3 in²
            number of cups = (2000π/3 in²) / (32π/3 in²) = 62.5 cups or 63 cups

(b)   V = π(8 in)²(8 in) / 12  = 128π/3 in²
           number of cups = (2000π/3 in²) / (128π/3 in²) = 15.625 cups or 16 cups

Answer:

(a) 21

(b) 5

HOPE THIS HELPS

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