All categories

3 years ago

20 m 12 m 34 m Find the surface area of this figure

Mathematics

1 answer:

Ad libitum [116K]3 years ago

8 0

Surface area of the fig is 2350.9 sq m (approx).

Step-by-step explanation:

Given,

Diameter = 34 m

so, radius (r) = 17 m

Height of the cylinder (h) = 12 m

Slant height of the cone (l) = 20 m

To find the surface area of the fig

Surface area of the fig = surface area of cylinder + surface area of cone

Formula

Surface area of cylinder = 2πrh

Surface area of cone = πrl

So,

Surface area of cylinder = 2π×17×12 sq m = 408π sq m

Surface area of cone = π×17×20 = 340π sq m

Surface area of the fig = 408π+340π sq m = 748π sq m

= 2350.9 sq m (approx)

You might be interested in

20 points and brainliest I’m in quiz in need it asap Number 4

iren [92.7K]

Answer and step-by-step explanation:

The polar form of a complex number $a+ib$ is the number $re^{i\theta}$ where $r = \sqrt{a^2+b^2}$ is called the modulus and $\theta = tan^-^1 (\frac ba)$ is called the argument. You can switch back and forth between the two forms by either remembering the definitions or by graphing the number on Gauss plane. The advantage of using polar form is that when you multiply, divide or raise complex numbers in polar form you just multiply modules and add arguments.

(a) let's first calculate moduli and arguments

$r_1 = \sqrt{(-2\sqrt3)^2+2^2}=\sqrt{12+4} = 4\\ \theta_1 = tan^-^1(\frac{2}{-2\sqrt3}) =-\pi/6\\r_2=\sqrt{1^2+1^2}=\sqrt2\\ \theta_2 = tan^-^1(\frac 11)= \pi/4$

now we can write the two numbers as

$z_1=4e^{-i\frac \pi6}; z_2=e^{i\frac\pi4}$

(b) As noted above, the argument of the product is the sum of the arguments of the two numbers:

$Arg(z_1\cdot z_2) = Arg(z_1)+Arg(z_2) = -\frac \pi6 + \frac \pi4 = \frac\pi{12}$

(c) Similarly, when raising a complex number to any power, you raise the modulus to that power, and then multiply the argument for that value.

$(z_1)^1^2=[4e^{-i\frac \pi6}]^1^2=4^1^2\cdot (e^{-i\frac \pi6})^1^2=2^2^4\cdot e^{-i(12)\frac\pi6}\\=2^2^4 e^{-i\cdot2\pi}=2^2^4$

Now, in the last step I've used the fact that $e^{i(2k\pi+x)} = e^i^x ; k\in \mathbb Z$ , or in other words, the complex exponential is periodic with $2\pi$ as a period, same as sine and cosine. You can further compute that power of two with the help of a calculator, it is around 16 million, or leave it as is.

7 0

1 year ago

Y=-7x+3 y=-x-3 Find the solution to the system of equations

Phoenix [80]

Just set the equations equal to each other
(1,-4)

8 0

2 years ago

Xavier opened a savings account with a deposit of $12,000. The account earned simple interest. He did not make any additional de

klasskru [66]

The annual interest rate on the saving account of Xavier which is earned simple interest is 9%.

<h3>What is simple interest?</h3>

Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.

The formula for the simple interest can be given as,

$I=\dfrac{PRT}{100}$

Here, (I) is the interest amount on the principal amount of (P) with the rate of (r) in the time period of (t).

Xavier opened a savings account with a deposit of $12,000. At the end of 3 years, the account balance was $12,324.

The principal amount is $12000 and the total amount is $12324. Thus, the interest earned by the Xavier is,

$I=12324-12000\\I=324$

Total time period is 3 years and the account earned simple interest. Thus, put these values in the above formula as,

$324=\dfrac{(12000)R(3)}{100}\\R=\dfrac{32400}{12000\times3}\\R=9\%$

Hence, the annual interest rate on the saving account of Xavier which is earned simple interest is 9%.

Learn more about the simple interest here;

brainly.com/question/2294792

8 0

2 years ago

Does (-3, -7) make the equation y = 4x + 5 true?

choli [55]

Answer: Yes. True

Step-by-step explanation:

In (-3, -7) , -3 is x and -7 is y.

Now, put those values in the equation.

y = 4x + 5

-7 = (4×-3)+5

-7 = -12 + 5

-7 = -7, which is true

5 0

3 years ago

Geometry circles question

CaHeK987 [17]

Answer: 14

----------------------------------------------

Explanation:

Using the intersecting chord theorem, we can say,

AP*PB = CP*PD
(x+2)*6 = 7*x
6x+12 = 7x
6x+12-6x = 7x-6x
12 = x
x = 12

If x = 12, then,
AP = x+2
AP = 12+2
AP = 14

3 0

3 years ago