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3 years ago

How do i find the surface area and volume of this shape?

Mathematics

1 answer:

Scrat [10]3 years ago

3 0

Answer:

3,761.46 m³

Step-by-step explanation:

Volume of a cone = 1/3πr²h

π = 3.14

radius, r = diameter/2

= 25/2 = 12.5 m

Height, h = 23m

Volume of a cone = 1/3πr²h

= 1/3 * 3.14 * 12.5² * 23

= 1/3 * 3.14 * 156.25 * 23

= 11,284.375 / 3

= 3761.4583333333

Approximately,

Volume of the cone = 3,761.46 m³

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Find the prime factorization of 2205.

Reptile [31]

Look at the picture below

The answer is: 3×3×5×7×7 or 3²×5×7²

5 0

3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!<br><br> What is the value of x?

MA_775_DIABLO [31]

Answer: $\bold{C)\ -\dfrac{1}{2}}$

<u>Step-by-step explanation:</u>

$.\qquad \dfrac{x+2}{15}=\dfrac{x+1}{5}\\\\\\\rightarrow (15)\dfrac{x+2}{15}=\dfrac{x+1}{5}(15)\\\\\\\rightarrow x+2=3(x+1)\\\\\rightarrow x+2=3x+3\\\\\rightarrow \qquad 2=2x+3\\\\\rightarrow \qquad -1=2x\\\\\rightarrow \qquad -\dfrac{1}{2}=x$

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3 years ago

Electric charge is distributed over the disk x2 + y2 ≤ 16 so that the charge density at (x, y) is rho(x, y) = 2x + 2y + 2x2 + 2y

professor190 [17]

Answer:

Required total charge is $256\pi$ coulombs per square meter.

Step-by-step explanation:

Given electric charge is dristributed over the disk,

$x^2=y^2\leq 16$ so that the charge density at (x,y) is,

$\rho (x,y)=2x+2y+2x^2+2y^2$

To find total charge on the disk let Q be the total charge and $x=r\cos\theta,y=r\sin\theta$ so that,

$Q={\int\int}_Q\rho(x,y) dA$ where A is the surface of disk.

$=\int_{0}^{2\pi}\int_{0}^{4}(2x+2y+2x^2+2y^2)dA$

$=\int_{0}^{2\pi}\int_{0}^{4}(2r\cos\theta+2r\sin\theta+2r^2 \cos^{2}\theta+2r^2\sin^2\theta)rdrd\theta$

$=2\int_{0}^{2\pi}\int_{0}^{4}r^2(\cos\theta+\sin\theta)drd\theta+2\int_{0}^{2\pi}\int_{0}^{4}r^3drd\theta$

$=\frac{2}{3}\int_{0}^{2\pi}(\sin\theta+\cos\theta)\Big[r^3\Big]_{0}^{4}d\theta+2\int_{0}^{2\pi}\Big[\frac{r^4}{4}\Big]d\theta$

$=\frac{128}{3}\int_{0}^{2\pi}(\sin\theta+\cos\theta)d\theta+128\int_{0}^{2\pi}d\theta$

$=\frac{128}{3}\Big[\sin\theta-\cos\theta\Big]_{0}^{2\pi}+128\times 2\pi$

$=\frac{128}{3}\Big[\sin 2\pi-\cos 2\pi-\sin 0+\cos 0\Big]+256\pi$

$=256\pi$

Hence total charge is $256\pi$ coulombs per square meter.

3 0

3 years ago

Mrs.Cranston bought five bottles of water for $0.90 each and 8 pounds of meat. She paid a total of $26.90 for these items, not i

Morgarella [4.7K]

Water = 5 bottles * $0.90 = $4.50
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Total = water + meat prices = $26.90
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The price per pound of meat is $2.80.

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3 years ago

What is 6.42 x 10^23 in standard notation

katrin2010 [14]

Answer:

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Step-by-step explanation:

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4 years ago