Question

Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 3617 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 2 in. and a height of 4 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

i need help asap

Answer 1

864

Explanation:

Volume of cup = ⅓pi×r²×h

Diameter = 2, radius = 1

= ⅓×3.142 × 1² × 4 = 4.1893333333 in³

To empty the sink, 864 scoops will be required

(3617/4.1893333 = 863.383)