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2 years ago

If the Leaning Tower of Pisa (which is roughly cylindrical) has a height of 55 meters, radius of 8 meters, what is the volume?

Mathematics

2 answers:

valentinak56 [21]2 years ago

8 0

Answer:

Option C. $V=3,520\pi\ m^3$

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

$V=\pi r^{2} h$

we have

$r=8\ m$

$h=55/ m$

substitute

$V=\pi (8)^{2} (55)$

$V=3,520\pi\ m^3$

anzhelika [568]2 years ago

6 0

Answer:

3520π

Step-by-step explanation:

Since the tower has the same height and same circular cross sections as a right cylinder, then the volume of the Leaning Tower of Pisa is V = πr2h = π(82)(55) = 3520π

Cavalier's Principle

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An expirement consists of rolling two fair number cubes. What is the probability that the sum of the two numbers will be 4? Expr

ExtremeBDS [4]

Answer:

$\dfrac{1}{12}$

Step-by-step explanation:

Given:

Two fair number cubes i.e. two dice consisting the numbers 1, 2, 3, 4, 5, 6 on their faces and have equal probability of each number.

The dice are rolled.

To find:

Probability of getting the sum of two numbers as 4.

Solution:

First of all, let us have a look at the total possibilities when two dice are rolled:

([1][1], [1][2], [1][3], [1][4], [1][5], [1][6],

[2][1], [2][2], [2][3], [2][4], [2][5], [2][6],

[3][1], [3][2], [3][3], [3][4], [3][5], [3][6],

[4][1], [4][2], [4][3], [4][4], [4][5], [4][6],

[5][1], [5][2], [5][3], [5][4], [5][5], [5][6],

[6][1], [6][2], [6][3], [6][4], [6][5], [6][6])

These are total 36 possible outcomes.

For getting a sum as 4:

Possible number of favorable cases are 3 (as highlighted in BOLD in above)

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

Required probability is:

$\dfrac{3}{36} = \bold{\dfrac{1}{12}}$

5 0

3 years ago

Calculate the unit price of the following item:

Vikki [24]

10 lol that’s the answer.

7 0

2 years ago

Suppose the lifetime of a cell phone battery is normally distributed with a mean of 36 months and a standard deviation of 2 mont

solong [7]

Answer:

They should guarantee the lifetime of their batteries for 32 months.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 36 months and a standard deviation of 2 months.

This means that $\mu = 36, \sigma = 2$