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3 years ago

A cylinder has a radius of 40 ft and a height of 17 ft. What is the exact surface area of the cylinder?

Mathematics

2 answers:

Georgia [21]3 years ago

8 0

we know that

surface area of the cylinder=2*{area of the base}+perimeter of base*height

area of the base=pi*r²

r=40 ft

Area of base=pi*40²

Area of the base=1600*pi ft²

Perimeter of the base=2*pi*r

Perimeter of the base=2*pi*40

Perimeter of the base=80*pi ft

surface area of the cylinder=2*1600*pi+80*pi*17

surface area=4560*pi ft²

therefore

the answer is the option

4560π ft2

mylen [45]3 years ago

3 0

Answer:

It is C.) 4560π ft2

Step-by-step explanation:

Because i took the test and 1/1 point means i got it right

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X + 16 at X= 4<br> 20<br> 21<br> 15

Colt1911 [192]

Answer:

The answer would be 20

Step-by-step explanation:

16+4=20

4 0

3 years ago

Read 2 more answers

Find parametric equations for the path of a particle that moves along the circle x2 + (y − 1)2 = 16 in the manner described. (En

ArbitrLikvidat [17]

Answer:

a) $x = 4\cdot \cos t$ , $y = 1 + 4\cdot \sin t$ , b) $x = 4\cdot \cos t$ , $y = 1 + 4\cdot \sin t$ , c) $x = 4\cdot \cos \left(t+\frac{\pi}{2} \right)$ , $y = 1 + 4\cdot \sin \left(t + \frac{\pi}{2} \right)$ .

Step-by-step explanation:

The equation of the circle is:

$x^{2} + (y-1)^{2} = 16$

After some algebraic and trigonometric handling:

$\frac{x^{2}}{16} + \frac{(y-1)^{2}}{16} = 1$

$\frac{x^{2}}{16} + \frac{(y-1)^{2}}{16} = \cos^{2} t + \sin^{2} t$

Where:

$\frac{x}{4} = \cos t$

$\frac{y-1}{4} = \sin t$

Finally,

$x = 4\cdot \cos t$

$y = 1 + 4\cdot \sin t$

a) $x = 4\cdot \cos t$ , $y = 1 + 4\cdot \sin t$ .

b) $x = 4\cdot \cos t$ , $y = 1 + 4\cdot \sin t$ .

c) $x = 4\cdot \cos t''$ , $y = 1 + 4\cdot \sin t''$

Where:

$4\cdot \cos t' = 0$

$1 + 4\cdot \sin t' = 5$

The solution is $t' = \frac{\pi}{2}$

The parametric equations are:

$x = 4\cdot \cos \left(t+\frac{\pi}{2} \right)$

$y = 1 + 4\cdot \sin \left(t + \frac{\pi}{2} \right)$

7 0

3 years ago

Find the length of each arc<br> r=13 ft x=90 degrees

VladimirAG [237]

Answer:

$13\pi/2$

Step-by-step explanation:

The formula of the circumference of a circle is $2\pi r$ .

The length of an arch can be found by using the ratio of circumference to the arc.

First, find the circumference of the circle:

$2\pi *13=26\pi$

Then you find the ratio:

The length of the arc is 90/360, which is 1/4, of the circumference.

Finally, find the length of the arc:

$26\pi*1/4=(13/2)\pi$ or $13\pi/2$

I hope this helps :)

6 0

3 years ago

An advertisement claims a car can go from zero to 60 in 5 seconds. what is the rate of change of the car's speed?

Ugo [173]

Rate of change=(changespeed)/(changetime)=(s1-s2)/(t1-t2)
change is (0-60)/(0-5)=-60/-6=12
answer is 12 units per second

8 0

3 years ago

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

Zolol [24]

Answer:

Step-by-step explanation:

Triangle DEF is a right angle triangle.

From the given right angle triangle,

DE represents the hypotenuse of the right angle triangle.

With ∠E as the reference angle,

EF represents the adjacent side of the right angle triangle.

DF represents the opposite side of the right angle triangle.

To determine EF, we would apply

trigonometric ratio

Cos θ = opposite side/hypotenuse. Therefore,

Cos 49 = EF/8

EF = 8Cos49 = 8 × 0.6561

EF = 5.2488

Rounding to the nearest tenth, it becomes 5.2

3 0

3 years ago