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3 years ago

Find the volume of a cylinder that has a radius of 7 and a height of 16. Leave your answer in terms of .

Mathematics

2 answers:

rusak2 [61]3 years ago

7 0

its approximately 2463.01 cubic units

natulia [17]3 years ago

6 0

Answer:

Volume of the cylinder = 2463.01 cubic units.

Step-by-step explanation:

Given : A cylinder that has a radius of 7 and a height of 16.

To find : Find the volume of a cylinder.

Solution : We have given

Radius of cylinder = 7 units.

Height = 16 units.

Volume of the cylinder = pi ( radius)² * height.

Plugging the values pi = 3.14, Radius of cylinder = 7 units.

Volume of the cylinder = 3.14 ( 7)² * 16.

Volume of the cylinder = 3.14* 49 * 16.

Volume of the cylinder = 2463.01 cubic units.

Therefore, Volume of the cylinder = 2463.01 cubic units.

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Refer to the accompanying TI-83/84 Plus calculator display of a 95% confidence interval. The sample display results from using a

nikklg [1K]

Answer:

The confidence interval is $22.805$

Step-by-step explanation:

We have given,

The Z interval (23.305,25.075)

Mean $\bar{x}=23.69$

Sample n=30

To find : The confidence interval?

Solution :

We know, The confidence interval is in the format of

$\bar{x}-E$

E denotes the margin of error,

$E=\frac{U-L}{2}$

Where, U is the upper limit U=25.075

L is the lower limit L=23.305

$E=\frac{25.075-23.305}{2}$

$E=\frac{1.77}{2}$

$E=0.885$

Substitute the value of E and $\bar{x}$ in the formula,

$23.69-0.885$

$22.805$

Therefore, The confidence interval is $22.805$

8 0

3 years ago

Decide which of the two given prices is the better deal and explain why. You can buy shampoo in a 6-ounce bottle for $2.29 or

hichkok12 [17]

Answer:

The 6 oz bottle

Step-by-step explanation:

When you simplify it to see how much per ounce each costs, the 6-oz has the better price.

2.29/6 = 0.381666....

10.19/15 = 0.6793....

the second bottle cost more per ounce, so the 6 oz bottle has the better deal

*plz brainlist

3 0

2 years ago

The point (5, -2) is rotated 90° about the origin. Its image is

tigry1 [53]

rotated 90° about the origin
(x,y) = (-y, x)

so (5, -2) is rotated 90° about the origin = (2, 5)

answer
b.(2, 5)

7 0

2 years ago

You are given the parametric equations x=2cos(θ),y=sin(2θ). (a) List all of the points (x,y) where the tangent line is horizonta

vladimir1956 [14]

Answer:

The solutions listed from the smallest to the greatest are:

x: $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$ $\sqrt{2}$

y: -1 1 -1 1

Step-by-step explanation:

The slope of the tangent line at a point of the curve is:

$m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

$m = -\frac{\cos 2\theta}{\sin \theta}$

The tangent line is horizontal when $m = 0$ . Then:

$\cos 2\theta = 0$

$2\theta = \cos^{-1}0$

$\theta = \frac{1}{2}\cdot \cos^{-1} 0$

$\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right)$ , for all $i \in \mathbb{N}_{O}$

$\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}$ , for all $i \in \mathbb{N}_{O}$

The first four solutions are:

x: $\sqrt{2}$ $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$

y: 1 -1 1 -1

The solutions listed from the smallest to the greatest are:

x: $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$ $\sqrt{2}$

y: -1 1 -1 1

6 0

2 years ago

The expression x4 + 6x3 – 11x2 – 60x + 100 is equivalent to (x – 2)(x – 2)(x + 5)(x + 5). At what points does the graph of the f

nikdorinn [45]

Since y equals the product of the factors, any value for x which makes any factor equal to zero is a point where the graph touches the x-axis.

x=-5 and 2 (technically the points (-5,0) and (2,0))

6 0

3 years ago

Read 2 more answers