All categories

4 years ago

Please help: Find the volume of the solid. Use 3.14 for π.

Mathematics

1 answer:

Kazeer [188]4 years ago

6 0

Answer:

The volume of the solid is 420m³

Step-by-step explanation:

The area of any pyramid is "1/3 · B · h", where B is the area of the base, and h is the height.

Knowing this we just need to solve for a couple of things.

First, and the easiest is the height of the triangle which (thankfully) is given to us. The height is 15m, which plus one number into our equation.

1/3 · B · 15

Second, we need to find the area of the base of the pyramid. That's done easily by finding the area of a triangle ( $\frac{base * height}{2}$ → $\frac{24*7}{2}$ → $\frac{168}{2}$ → $84$ ) giving us 84 units. This puts another number into our equation.

1/3 · 84 · 15

Now that we have all of the parts to our equation, we can solve it.

1/3 · 84 · 15

1/3 · 1260

420

The volume of the solid is 420m³

You might be interested in

Given cos theta = - 2/5 and sin theta < 0, find the six trigonometric values. I need help with this

Lena [83]

Answer:

$\sin\,\theta =-\frac{\sqrt{21} }{5}$

$\tan\,\theta =\frac{\sqrt{21} }{2}$

$\sec\,\theta = \frac{-5}{2}$

$cosec\,\theta =\frac{-5}{\sqrt{21} }$

$\cot\,\theta =\frac{2}{\sqrt{21} }$

Step-by-step explanation:

$\cos\theta =\frac{-2}{5}$

As both $sin\,\theta$ ,

$\theta$ lies in the third quadrant.

In the third quadrant,

$\sin\theta$

$\sin\,\theta =-\sqrt{1-\cos^2\,\theta} \\=-\sqrt{1-(\frac{-2}{5})^2 } \\\\=-\sqrt{1-\frac{4}{25} }\\\\=-\sqrt{\frac{25-4}{25} }\\\\=-\frac{\sqrt{21} }{5}$

$\tan\,\theta = \frac{\sin\,\theta}{\cos\,\theta }\\\\=\frac{\frac{-\sqrt{21} }{5} }{\frac{-2}{5} }\\\\=\frac{\sqrt{21} }{2}$

$\sec\,\theta =\frac{1}{\cos\,\theta }\\\\=\frac{1}{\frac{-2}{5} }\\\\=\frac{-5}{2}$

$\ cosec \,\theta = \frac{1}{sin\,\theta }\\\\=\frac{1}{\frac{-\sqrt{21} }{5} }\\\\=\frac{-5}{\sqrt{21} }$

$\cot\,\theta =\frac{1}{\tan\,\theta}\\\\=\frac{1}{\frac{\sqrt{21} }{2} }\\\\=\frac{2}{\sqrt{21} }$

3 0

3 years ago

Suppose you multiplied the cereal box dimensions in a different order:

Mariana [72]

$\bf V=(x)(4x+3)(4x)\implies \cfrac{V}{4x}=(x)(4x+3)$

7 0

4 years ago

Read 2 more answers

A group of 14 and 15-year-olds were polled on their favorite season. The results are shown in the frequency table.

Yakvenalex [24]

Answer:

1. 4 categories are shown in the rows.

2. 2 categories are shown in the columns.

3. The number of 14 year olds that consider winter their favorite season is 12.

4. Total number of people polled is 82.

Step-by-step explanation:

The question is to test the ability of a student to group data using a frequency table accurately, and make appropriate deductions from it. Consider the attachment for the accurate table required to answer the given questions.

If the given information is grouped as required, thus the answers to the questions are:

i. 4 categories are shown in the rows.

ii. 2 categories are shown in the columns.

iii. The number of 14 year olds that considers winter their favorite season is 12.

iv. Total number of people polled is 82.