Elena wonders how much water it would take to fill her cup. She drops her pencil in her cup and notices that it just fits diagonally. (See the diagram.) The pencil is 17 cm long and the cup is 15 cm tall. How much water can the cup hold? Explain or show your reasoning.

Answers

Answer 1

Answer:

Answer:

The cup can hold 240π cubic centimeters of water.

Step-by-step explanation:

Let's assume the cup is a cylinder. The pencil length is simulates a diagonal (hypothenuse), which forms a right triangle with the height of the cylinder and the diameter at the bottom. So, we apply Pythagorean's Theorem.

$17^(2) =15^(2) + d^(2)$

Solving for $d$ , we have

$289 - 225 = d^(2) \nd=√(64) \n d=8$

Therefore, the diameter of the cylinder is 8 centimeres, which means its radius is 4 centimeters by definition.

The volume of a cylinder is defined as

$V= \pi r^(2) h$

Where $r$ is the radius and $h$ is the height. Replacing values, we have

$V= \pi * 4^(2) * 15 =\pi * 16 * 15\nV=240\pi \ cm^(3)$

Therefore, the cup can hold 240π cubic centimeters of water.

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A whole theater has the capacity to hold 1,000 people. On the opening night, the theater was 95% full. What part of the theater was filled on opening night?

Answers

Answer:

950 People

Step-by-step explanation:

If you have 95% of 100 then it is 95, correct? So, if you have 95% of 1000, the it must be 950.

Just saying, it might be wrong but try it anyways... if it isnt right then im sorry.

A family consists of a father, a mother and 2 children. What is the probability that all 2 children are boys?1/2

1/4

1/6

1/8

Answers

Answer:

Step-by-step explanation:

The probability of having a boy is ½ and that of a girl is ½.

Probability of boy, boy is (pb*pb) and given pb to be ½ then we can prove the point as follows

For these two children

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Answers

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Madison’s plant was 10 7/8 inches tall. She trimmed off 2 1/4 inches. How tall is her plant now?thx
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Answers

Answer:

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Step-by-step explanation:

What is the answer when you get the same number on bboth sides of a equation?

Answers

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What is 99+1 x 4 worth 50 pts

Answers

Use PEMDAS to solve the problem.
PARENTHESIS
EXPONENTS
MULTIPLICATION
DIVISION
ADDITION
SUBTRACTION

In the problem $99 + 1 * 4$ , there is only multiplication and addition.
According to PEMDAS, multiplication comes before addition. So you do that first.
$1 * 4 = 4$
Now you add 4 and 99 to get your answer.
$99 + 4 = 103$
The answer is $\boxed{ 103 }$ .

However, it looks like in your question the 99+1 is separated from the 4. If the question was originally $(99 + 1) * 4$ then we do the parenthesis first. 99 + 1 = 100. $100 * 4 = 400$ .

So depending on your question,
$99+1*4=\boxed{103}$
$(99+1)*4=\boxed{400}$

99+1 times 4
so pemdas
there are no parenthasees or exponents so we move to multiplication
1 times 4=4
99+4
addition
99+4=103
the answe ris 103

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