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3 years ago

The base of a cylinder has an area of 64π in2. If the height of the cylinder is 10 in., what is the total volume?

Mathematics

2 answers:

Stells [14]3 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

The volume (V) of a cylinder is

V = area of base × height

here area of base = 64π and height = 10, hence

V = 64π × 10 = 640π in³ ← exact value

Anastasy [175]3 years ago

3 0

Answer:

V = 3217.0 m3

Step-by-step explanation:

The base area is given and the height is equal to twice the radius.

Use the formula for the area of a circle to solve for the radius of the cylinder.

A=πr2

Substitute 64π for A.

64π=πr2

Divide both sides by π.

64=r2

Take the positive square root of both sides.

8=r

Therefore, the radius is equal to 8 m.

The height is equal to twice the radius.

h=2r

Substitute 8 for r.

h=2⋅8

Simplify.

h=16

Therefore, the height is equal to 16 m.

To find the volume of the cylinder, use the formula for the volume of a cylinder, V=πr2h.

Substitute 8 for r and 16 for h.

V=π⋅82⋅16

Simplify.

V=1024π

Use a calculator to approximate.

V≈3217.0 m3

Therefore, the volume of the cylinder is approximately 3217.0 m3.

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melomori [17]

Answer:

16/27

Step-by-step explanation:

First let's convert this info an equation and then we will solve.

(2/3) * (8/9) = ?

( 2 * 8 ) / ( 3 * 9 ) = ?

( 16 ) / ( 27 ) = ?

16 / 27 = ?

So our fractional answer is 16/27.

In words this would be sixteen over twenty seven.

Cheers.

3 0

3 years ago

Carl offered to pay jake $0.25 a square foot to paint his fence. The fence measures 109 feet long and 7 feet wide what is the to

Scorpion4ik [409]

Answer:

Part 1) The total square footage of the fence is $763\ ft^{2}$

Part 2) $\$190.75$

Step-by-step explanation:

Part 1) what is the total square footage of the fence ?

we know that

The area of the fence is equal to

$A=LW$

substitute the values

$A=(109)(7)=763\ ft^{2}$

Part 2) How much will Jake get paid

Using proportion

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3 years ago

What is the answer to -3+p=?

nata0808 [166]

There is not an answer to an expression.

-3+p is an expression, unless there was an equal sign and a sum at the end, that is when we can solve for the variable x.

-3+p simply equals -3+p

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3 years ago

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Six times a number is greater than 20 more than that number. What are the possible values of that number?

jek_recluse [69]

6n>20+n
6n-n>20
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3 years ago

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An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 280 engines

DENIUS [597]

Answer:

The value of the test statistic is $t = -2.09$

Step-by-step explanation:

The null hypothesis is:

$H_{0} = 6.6$

The alternate hypotesis is:

$H_{1} \neq 6.6$

Our test statistic is:

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation(square roof of the variance) and n is the size of the sample.

In this problem, we have that:

$X = 6.5, \mu = 6.6, \sigma = \sqrt{0.64} = 0.8, n = 280$

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$t = \frac{6.5 - 6.6}{\frac{0.8}{\sqrt{280}}}$

$t = -2.09$

The value of the test statistic is $t = -2.09$

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3 years ago