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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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  • <em>One part of $ 25,000 is invested at 10% interest, another part at 12%, and the rest at 16%. The total annual income from the three investments is $ 3,200. Also, the income from the investment at 16% is equal to the income from the other two investments combined. How much was invested at each interest rate?</em>

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Let the parts be x, y and z

<u>As per given we get below system of equations:</u>

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<u>Substitute 0.1x + 0.2y in the second equation:</u>

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<u>Now we have:</u>

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<u>Multiply the second equation and then subtract the first one:</u>

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Then

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<u>So the parts are:</u>

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