2. Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 3617 in? 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.
***Find the volume of the cup. Divide the volume of the sink by the volume of the cup*
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calculista calculista · Answer 1 · 2020-03-04T03:51:58+01:00

Answer:

863 cups

Step-by-step explanation:

step 1

Find the volume of the conical cup

The volume of the cone (cup) is equal to

[tex]V=\frac{1}{3}\pi r^{2}h[/tex]

we have

[tex]r=2/2=1\ in[/tex] ----> the radius is half the diameter

[tex]h=4\ in[/tex]

assume

[tex]\pi =3.14[/tex]

substitute

[tex]V=\frac{1}{3}(3.14)(1^{2})4=4.19\ in^3[/tex]

step 2

Find out how many cups of water must Carissa scoop out of the sink

Divide the volume of the sink by the volume of the cup

so

[tex]\frac{3,617}{4.19}= 863\ cups[/tex]