All categories

2 years ago

What is the surface area of the cylinder in terms of pi the diagram is not drawn to scale radius of 9 and height of 19

Mathematics

2 answers:

Lesechka [4]2 years ago

6 0

Answer:

504 $\pi$ in²

Step-by-step explanation:

Confirmed

Misha Larkins [42]2 years ago

3 0

Hello!

To find the surface area of a cylinder you use the equation

$SA = 2 \pi rh + 2 \pi r^{2}$

SA is surface area
r is radius
h is height

Put in the values you know

$SA = 2 \pi 9 * 19 + 2 \pi 9^{2}$

Square the number

$SA = 2 \pi 9 * 19 + 2 \pi 81$

Multiply the 9, 19 and 2

$SA = 342 \pi + 2 \pi 81$

Multiply the 2 and 81

$SA = 342 \pi + 162 \pi$

Add

$SA = 504 \pi$

The answer is $504 \pi$

Hope this helps!

You might be interested in

Boxes of raisins are labeled as containing 22 ounces. Following are the weights, in the ounces, of a sample of 12 boxes. It is r

ZanzabumX [31]

Answer:

A 90% confidence interval for the mean weight is [21.78 ounces, 21.98 ounces].

Step-by-step explanation:

We are given the weights, in the ounces, of a sample of 12 boxes below;

Weights (X): 21.88, 21.76, 22.14, 21.63, 21.81, 22.12, 21.97, 21.57, 21.75, 21.96, 22.20, 21.80.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean weight = $\frac{\sum X}{n}$ = 21.88 ounces

s = sample standard deviation = $\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }$ = 0.201 ounces

n = sample of boxes = 12

$\mu$ = population mean weight

Here for constructing a 90% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.

So, 90% confidence interval for the population mean, $\mu$ is ;

P(-1.796 < $t_1_1$ < 1.796) = 0.90 {As the critical value of t at 11 degrees of

freedom are -1.796 & 1.796 with P = 5%}

P(-1.796 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 1.796) = 0.90

P( $-1.796 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $1.796 \times {\frac{s}{\sqrt{n} } }$ ) = 0.90

P( $\bar X-1.796 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.796 \times {\frac{s}{\sqrt{n} } }$ ) = 0.90

90% confidence interval for $\mu$ = [ $\bar X-1.796 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+1.796 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $21.88-1.796 \times {\frac{0.201}{\sqrt{12} } }$ , $21.88+1.796 \times {\frac{0.201}{\sqrt{12} } }$ ]

= [21.78, 21.98]

Therefore, a 90% confidence interval for the mean weight is [21.78 ounces, 21.98 ounces].

8 0

3 years ago

In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) =x2 to the number of x-intercepts in

Natalija [7]

Important: Please use " ^ " to indicate exponentiation:

"f(x) =x^2 to the number of x-intercepts in the graph of g(x) = x^2 +2."

Notes: the graph of f(x) = x^2 is a vertical parabola that opens up. It has its vertex at (0,0). This is the only point at which f(x)=x^2 has a horiz. intercept.

g(x) = x^2 + 2 has a graph that looks the same as that of f(x) = x^2, EXCEPT that the whole graph is moved 2 units UP. This new graph never touches or intersects the x-axis. Therefore, g(x) has NO horiz. intercepts (no x-int.).

7 0

3 years ago

dina called her friend to tell her that she saved 30% on her new skirt at a discount store. Her friend told her that she could h

Triss [41]

Answer:

She could have saved 1.8 more dollars.

Step-by-step explanation:

30% is the same as 0.3. 0.3 times 54$ is 16.2$. 1/3 times 54$ is 18$. 18$ - 16.2$ is 1.8$.

4 0

2 years ago

Solve the following logarithmic equation.

geniusboy [140]

X=4 and x=6
I suppose this is the correct answer.

3 0

2 years ago

Find the complete perimeter of the sector that intercepts arc AC.

zhuklara [117]

To answer, determine first the length of the arc intercepted by the angle which measures 45°.

Calculate for the circumference of the circle with the equation,
C = 2πr
where C is circumference and r is radius. Substitute the known value for r,
C = 2π(7) = 43.98

Then, multiply the obtained value by the ratio of the angle intercepted and the whole revolution.
Arc = 43.98 x (45°/360°)
Arc = 5.5

The whole perimeter of the sector includes the arc and 2 radii. Hence, the equation for the whole perimeter is,
Perimeter = Arc + 2r
Substituting the values,
Perimeter = (5.5) + 2(7)
Perimeter = 19.50

ANSWER: 19.50 units

7 0

3 years ago