All categories

2 years ago

The diagram shows the dimensions of a teepee. Find the volume of the building to the nearest cubic unit. Use 3.14 for pi.

Mathematics

1 answer:

LekaFEV [45]2 years ago

7 0

The volume of a cone uses the following formula:

$V = \pi r^{2} \frac{h}{3}$

Our diameter is 20 feet, so divide this by 2 to find the radius:

$20 \div 2 = 10$

We now have all of our values need to fill in the formula. Plug in these values:

$\pi = 3.14, r = 10, h = 17$

$3.14 * 10^{2} * \frac{17}{3}$

$3.14 * 100 * 5.67$

$314 * 5.67 = 1780.38$

The volume of the cone is 1780 cubic feet.

You might be interested in

Which table represents a linear function

Vilka [71]

Table D represents a linear function.

4 0

3 years ago

In a cohort of 35 graduating students, there are three different prizes to be awarded. If no student can receive more than one p

sweet [91]

We have been given in a cohort of 35 graduating students, there are three different prizes to be awarded. We are asked that in how many different ways could the prizes be awarded, if no student can receive more than one prize.

To solve this problem we will use permutations.

$_{r}^{n}\textrm{P}={_{3}^{35}\textrm{P}}$

We know that formula for permutations is given as

$_{r}^{n}\textrm{P}=\frac{n!}{(n-r)!}$

On substituting the given values in the formula we get,

${_{3}^{35}\textrm{P}}=\frac{35!}{(35-3)!}=\frac{35!}{32!}$

$=\frac{35\cdot 34\cdot 33\cdot 32!}{32!}\\
\\
=35\cdot 34\cdot 33=39270$

Therefore, there are 39270 ways in which prizes can be awarded.

6 0

3 years ago

A 10% increase followed by another 10% increase is not the same as a total increase of

AlexFokin [52]

Answer:

21%

Step-by-step explanation:

Another 10% increased means it becomes 110*110/100 = 121. The first 10% increase means the second 10% increase will be an actual 11% increase from the original, so it will be a total of 21%.

6 0

2 years ago

Read 2 more answers

X to the power of 2+ 2X plus 3X to the power of 2+ 4X subtract 2X to the power of 2+ X

eimsori [14]

Answer:

4x+12

Step-by-step explanation:

$2x + 2 \times { }^{2} + 6x + 12 x ^{2} - 4x + - 2x ^{2}$

8 0

3 years ago

Describe how a statistical question yields an answer with variability. Give a example.

solniwko [45]

Statistics is not an exact science, meaning that with any answer, there will be variance. This is because the sample size used to obtain values is always smaller than the population being studied.

3 0

3 years ago

Read 2 more answers