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2 years ago

The radius of a cylinder is 7 c m and its height is 10 c m. Find curved surface area and volume.

Mathematics

2 answers:

erma4kov [3.2K]2 years ago

8 0

Answer:

CSA of the cylinder = 440 sq. cm

Volume of the cylinder = 1540 cu. cm

$\\$

Step-by-step explanation:

Given:

Radius of the cylinder = 7 cm
Height of the cylinder = 10 cm

$\\$

To Find:

Curved surface area
Volume

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Solution:

$\\$

Using formula:

$\dashrightarrow \: \: { \underline{ \boxed{ \pmb{ \sf{ \purple{CSA \: of \: cylinder = 2\pi rh}}}}}} \: \star \\ \\$

<em>Substituting the required values: </em>

$\\$

$\dashrightarrow \: \: \sf CSA {(cylinder)} = 2 \times \dfrac{22}{7} \times 7 \times 10 \\ \\ \\ \dashrightarrow \: \: \sf CSA {(cylinder)} = 2 \times 22 \times 10 \\ \\ \\ \dashrightarrow \: \: \sf CSA {(cylinder)} = 44 \times 10 \\ \\ \\ \dashrightarrow \: \: \sf CSA {(cylinder)} = 440 \: {cm}^{2} \\ \\ \\$

Now,

$\dashrightarrow \: \: { \underline{ \boxed{ \pmb{ \sf{ \purple{Volume {(cylinder)}= \pi {r}^{2} h}}}}}} \: \star \\ \\ \\$

<em>Substituting the required values, </em>

$\\$

$\dashrightarrow \: \: \sf Volume {(cylinder)}= \dfrac{22}{7} \times {(7)}^{2} \times 10 \\ \\ \\ \dashrightarrow \: \: \sf Volume {(cylinder)}= \frac{22}{7} \times 49 \times 10 \\ \\ \\ \dashrightarrow \: \: \sf Volume {(cylinder)}= 22 \times 7 \times 10 \\ \\ \\ \dashrightarrow \: \: \sf Volume {(cylinder)}= 1540 {cm}^{3} \\ \\ \\$

Hence,

CSA of the cylinder = 440 sq. cm

Volume of the cylinder = 1540 cu. cm

tiny-mole [99]2 years ago

6 0

Step-by-step explanation:

CSA of cylinder 440 cm sq.

Volume 1540 cm cube.

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What are the domain and range of the function f(x)= square rootx-7+9?

FinnZ [79.3K]

Answer:

Domain: [7, ∞)

Range: [9, ∞)

Step-by-step explanation:

1) This question may be easily answered if you are aware of the shape of the graph of sq. root x, and the effect of translations to graphs.

1. x - 7 means that the original graph is translated 7 units in the positive direction of the x-axis (ie. to the right), thus the minimum value for x is also shifted from 0 to 7

2. the + 9 means that the graph is translated 9 units in the positive direction of the y-axis (ie. up), thus the minimum y-value is also shifted from 0 to 9

3. We know that the graph will continue to infinity, both in the x- and y-direction

Thus, the domain would be [7, ∞) and the range [9, ∞)

2) Another way to think about it is to ask yourself when it would make sense for the graph to exist. For this, we must consider that you cannot take the square root of a negative number.

Thus, if we have the square root of (x - 7), for what value of x would (x - 7) be negative? If x = 7:

x - 7 = 7 - 7 = 0

Therefor, any x-value less than 7 will lead to a negative answer, which wouldn't be practical. Any value equal to or greater than 7 will lead to a positive answer, thus the permissible values for x are from 7 to infinity, and so the domain is [7, ∞) (note that square brackets are used for 7 as it is included in the domain, whereas infinity is always closed with round brackets).

If we have already found the domain, then we can simply substitute the values for this into the equation to obtain the range (note that this will work for a square root function, however some functions will have turning points and in this case you must calculate the range based on the turning points as well as the minimum and maximum x-values):

if x = 7: y = sq. root (7-7) + 9

= 9

This is the minimum value for y

if we have x = ∞, then the y value will also be infinitely great, therefor the maximum y-value is also ∞. Thus, the range is [9, ∞).

These questions are much easier to solve however if you are already aware of the basic graph and the effect of dilations, translations and reflections so that you may visualise it better.

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3 years ago

Which expression is equivalent to (x - 5)(4x2 – 3x + 8)?

ruslelena [56]

Answer:

(x - 5) (x (4 x - 3) + 8)

Step-by-step explanation:

4 x^3 - 23 x^2 + 23 x - 40

x (x (4 x - 23) + 23) - 40

(x - 5) (x (4 x - 3) + 8)

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3 years ago

A simple random sample of 64 observations was taken from a large population. The population standard deviation is 120. The sampl

jeka94

Answer:

<h3>The standard error of the mean is <u>15</u></h3>

Step-by-step explanation:

Given that a simple random sample of 64 observations was taken from a large population.

Hence it can be written as n=64

The population standard deviation is 120.

It can be written as $\sigma_{\overline{X}}=120$

The sample mean was determined to be 320.

It can be written as $\overline{X}=\mu =320$

<h3>To find the standard error of the mean :</h3>

The formula for the standard error of the mean is given by

$\sigma_{\overline{X}}=\frac{\sigma}{\sqrt{n}}$

Now substitute the values in the formula we get

$\sigma_{\overline{X}}=\frac{120}{\sqrt{64}}$

$=\frac{120}{8}$

$=15$

$\sigma_{\overline{X}}=15$

<h3>∴ The standard error of the mean is 15</h3>

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3 years ago

A quadrilateral has exactly 3 congruent sides. Davis claims that the figure must be a rectangle. Why is his claim incorrect?

myrzilka [38]

Because rectangles' sides are equal two by two. they are not all congruent

so the shape is a square

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2 years ago

How do you find the equation of a parabola given two x intercepts

Ivahew [28]

Let's assume that the parabola has the following intersections with the x axis:
x1 = p
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Where,
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2 years ago

The radius of a cylinder is 7 c m and its height is 10 c m. Find curved surface area and volume.​

The radius of a cylinder is 7 c m and its height is 10 c m. Find curved surface area and volume.