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coldgirl [10]
3 years ago
5

Can someone help me find the volume please

Mathematics
1 answer:
umka2103 [35]3 years ago
5 0

Answer:

See below.

Step-by-step explanation:

The figure is a cone. The formula for the volume of a cone is:

V=\frac{1}{3}\pi r^2h

The radius is 4.8 and the height is 2.9. Substitute:

V=\frac{1}{3}\pi (4.8)^2(2.9)

Use a calculator:

V\approx69.97\text{ km}^3

And we're done!

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Linda has a shelf that is 56 over 5 inches wide. how many catalogs can linda arrange on the shelf if each catalog is 4 over 5 of
Ierofanga [76]
First point to be noted here is, the shelf and the book are 5 inches wide. So it is perfect to hold the book.

The shelf is 56 inches tall and the book is 4 inches thick. To find the number of books Linda can arrange on the shelf, just divide 56 by 4

Number of books Linda can arrange on the shelf = 56 ÷ 4 = 14 books
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3 years ago
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How is adding and subtracting radical expressions similar to adding and subtracting variables ?????
steposvetlana [31]

Answer: To add or subtract radicals, the indices and what is inside the radical (called the radicand) must be exactly the same. If the indices and radicands are the same, then add or subtract the terms in front of each like radical. If the indices or radicands are not the same, then you can not add or subtract the radicals.

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3 years ago
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Find the volume of the solid formed by revolving the region bounded by LaTeX: y = \sqrt{x} y = x and the lines LaTeX: y = 1 y =
Strike441 [17]

Answer:

The volume is:

\displaystyle\frac{37\pi}{10}

Step-by-step explanation:

See the sketch of the region in the attached graph.

We set the integral using washer method:

\displaystyle\int_a^b\pi r^2dx

Notice here the radius of the washer is the difference of the given curves:

x-\sqrt{x}

So the integral becomes:

\displaystyle\int_1^4\pi(x-\sqrt{x})^2dx

We solve it:

Factor \pi out and distribute the exponent (you can use FOIL):

\displaystyle\pi\int_1^4x^2-2x\sqrt{x}+x\,dx

Notice: x\sqrt{x}=x\cdot x^{1/2}=x^{3/2}

So the integral becomes:

\displaystyle\pi\int_1^4x^2-2x^{3/2}+x\,dx

Then using the basic rule to evaluate the integral:

\displaystyle\pi\left[\frac{x^3}{3}-\frac{2x^{5/2}}{5/2}+\frac{x^2}{2}\right|_1^4

Simplifying a bit:

\displaystyle\pi\left[\frac{x^3}{3}-\frac{4x^{5/2}}{5}+\frac{x^2}{2}\right|_1^4

Then plugging the limits of the integral:

\displaystyle\pi\left[\frac{4^3}{3}-\frac{4(4)^{5/2}}{5}+\frac{4^2}{2}-\left(\frac{1}{3}-\frac{4}{5}+\frac{1}{2}\right)\right]

Taking the root (rational exponents):

\displaystyle\pi\left[\frac{4^3}{3}-\frac{4(2)^{5}}{5}+\frac{4^2}{2}-\left(\frac{1}{3}-\frac{4}{5}+\frac{1}{2}\right)\right]

Then doing those arithmetic computations we get:

\displaystyle\frac{37\pi}{10}

6 0
3 years ago
The following question in the photos
Harlamova29_29 [7]
Answer: D
Because there is a dashed line, that means there has to be an inequality statement, C is the only one with one and the statement is false.
4 0
2 years ago
What times 3 equals 3/10
Mumz [18]

Answer:

1/10

Step-by-step explanation:

Divide 3/10 by 3. Remember to "keep, flip, change".

3/10 ÷ 3/1

3/10 × 1/3

Multiply across: 3/10 × 1/3 = 3/30

Simplify: 3/30 = 1/10

7 0
3 years ago
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