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Arisa [49]
3 years ago
6

A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 9cm, and the base has a radius of 4cm

. How much water is needed to fill 150 cups? Use 3.14 for π, and do not round your answer.
Mathematics
1 answer:
OlgaM077 [116]3 years ago
6 0

Answer:

22608cm³

Step-by-step explanation:

Step 1

We find how many liters of water can be contained in 1 cup. We do this by finding the volume of the cup.

Cup is shaped as a cone

The volume of a cone = πr²h/3

Where

r = radius = 4cm

h = height = 9cm

π = 3.14

Hence,

Volume of the cone (cup) =

3.14 × 4² × 9/3

= 150.72 cm³

Step 1

How much water is needed to fill 150 cups?

1 cup = 150.72 cm³ of water

150 cups = x

Cross Multiply

x = 150 × 150.72 cm³

x = 22608 cm³ of water

Therefore, 22608cm³ of water is needed to fill 150 cups

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PLEASE HELP ME.Math work: The Head Chef has asked you to create a delicious baked dessert that will have the same volume if it i
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Answer:

Large baking dish of cylinder, cone and sphere.

Step-by-step explanation:

When we compute the volume of each of the small and large baking dish taking \pi=3.14, we get

Volume of cylinder (small dish)= \pi(r^2)(h)

                                                  =3.14(\frac{3}{2})^2*3

                                                  = \frac{3.14*9*3}{4}

                                                 = 21.195

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                                                  =84.78

Similarly, volume of cone (smaller dish)= \frac{1}{3} \pi r^{2} h

                                                            = 7.065

Volume of cone (larger dish)= 84.78

Volume of sphere(smaller dish)= \frac{4}{3} \pi r^{3}

                                                    = 14.13

Volume of sphere (larger dish) = 85.17 (approx)

Hence, we get that larger baking dish have approximately same volume.

Therefore, large baking dish of cylinder, cone, sphere will be chosen.

4 0
3 years ago
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