All categories

2 years ago

A cylinder has a height of 7cm.

1 answer:

7 0

We first need to find the radius of the circle, so we need to do 8π/π which gives us a diameter of 8 cm, halving this gives us a radius of 4 cm.

The area of this circle will be:

A = πr^2

A = 4^2

A = 16π cm^2

Now to find the volume we simply multiply the area by the height:

16π × 7 = 112π cm^3 which is our final answer.

You might be interested in

in a given year, the rate of flu infection for the general public was 8.3%. And sample of 200 people who receive the flu vaccine

makkiz [27]

Answer:

$\fbox{\begin{minipage}{10em}Option A is correct\end{minipage}}$

Step-by-step explanation:

Step 1: Define significance level

In this hypothesis testing problem, significance levels α is selected: $0.05$ , the associated z-value from Laplace table:

Φ( $z$ ) = α - $0.5 = 0.05 - 0.5 = -0.45$

=> $z$ = $-1.645$

Step 2: Define null hypothesis ( $H_{0}$ ) and alternative hypothesis ( $H_{1}$ )

$H_{0}$ : rate of flu infection $p$ = 8.3% or 8.3/100 = 0.083

$H_{1}$ : rate of flu infection $p$ < 8.3% or 8.3/100 = 0.083

Step 3: Apply the formula to check test statistic:

$K = \frac{f - p}{\sqrt{p(1 - p)} } * \sqrt{n}$

with $f$ is actual sampling percent, $p$ is rate of flu infection of $H_{0}$ , $n$ is number of samples.

The null hypothesis will be rejected if $K < z$

Step 4: Calculate the value of K and compare with $z$

$K = \frac{(\frac{3.5}{100}) - 0.083}{\sqrt{0.083(1 - 0.083)} } * \sqrt{200} = -2.46$

We have $-2.46 < -1.645$

=>This is good evidence to reject null hypothesis.

=> The actual rate is lower. (As $H_{1}$ states)

Hope this helps!

5 0

3 years ago

What is the value of the expression 83?

jarptica [38.1K]

Answer:

83+11_

Step-by-step explanation:

5 0

2 years ago

The cost of 12 kg sugar is $240 what will be the cost of 3 kg sugar

Alexus [3.1K]

Question:

The cost of 12 kg sugar is $240 what will be the cost of 3 kg sugar.

Given:

Cost of 12 kg sugar = $240

To find?

cost of 3 kg sugar

Answer :

To find cost of 3kg sugar first we have to find cost of 1 kg sugar.

Cost of 1 kg sugar = Cost of total no. of sugar ÷Total sugar
Cost of 1 kg sugar = $240/12
Cost of 1 kg sugar = $20

Now Let's find cost of 3 kg sugar

Cost of 3kg sugar = total no of sugar ×Cost of 1 kg sugar

Cost of 3kg sugar = 3×$20

Cost of 3kg sugar = $60

3 0

2 years ago

A cooler contains 5 bottle of lemonade, 4 bottles of water, and 3 bottles of juice. Each type is equally likely to be chosen. Ba

lord [1]

I think the answer is 4

5 0

2 years ago

The function h defined by h(t)=(49 + 4.9t)(10 - t) models the height, in meters, of an object t seconds after it is dropped from

kipiarov [429]

Answer:

Step-by-step explanation:

Let's FOIL this out and get it into standard quadratic format:

$h(t)=-4.9t^2+490$ . The lack of a linear term in the middle means therewas no upwards velocity, consistent with the object being dropped straight down as opposed to thrown up in the air tand then falling in a parabolic path. The -4.9t² represents the acceleration due to gravity, and the 490 represents the height from which the object was dropped. The constant in a quadratic that is modeling parabolic motion always represents the height from which the object was dropped (or launched). That's how you know.

5 0

2 years ago