Complete Question
A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 10 cm, and the base has a diameter of 12 cm. The cooler has 16,956 cm³ of water in it. How many cups can be filled from the cooler?
Answer:
45 paper cups
Step-by-step explanation:
Step 1
We have to find the volume of the paper cups.
The paper cup is shaped like a cone
Hence, Volume of a cone(paper cup) = 1/3πr²h
π = 3.14
Height = 10 cm
Diameter = 12 cm
Radius = Diameter/2 = 12cm/2 = 6cm
Hence,
Volume = 1/3 × 3.14 × 6² × 10
= 376.8 cm³
Step 2
How many cups can be filled from the cooler?
The cooler contains initially = 16,956 cm³ of water
Hence, the number of cups that can be filled from the cooler is calculated as:
Volume of cooler/Volume of paper cup
= 16,956cm³/376.8 cm³
= 45 paper cups
Therefore, 45 paper cups can be filled from the cooler.
Using the Pythagorean theorem, the height of the television is approximately 16 inches.
<h3>How to Apply the Pythagorean Theorem?</h3>
Given the following:
Length of the diagonal of the television = 27 inches
Width of the television = 22 inches.
Height of the television = ?
Using the Pythagorean theorem, we would find the height of the television as shown below:
Height of the television = √(27² - 22²)
Height of the television = √(729 - 484)
Height of the television = √245
Height of the television ≈ 16 inches
Thus, using the Pythagorean theorem, the height of the television is approximately 16 inches.
Learn more about the Pythagorean theorem on:
brainly.com/question/343682
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Answer:
12⁰
Step-by-step explanation:
5x⁰ + 50⁰ = 110⁰
5x⁰ = 110⁰ - 50⁰
5x⁰ = 60⁰
x⁰ = 12⁰
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em><em> </em>
Answer:
where is the table
Step-by-step explanation:
Answer:
A.
to discuss Shays's Rebellion in Massachusetts
