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3 years ago

( Will give Brainliest to the first person who answers)

Mathematics

2 answers:

Tema [17]3 years ago

5 0

Answer:

h=3

Step-by-step explanation:

il63 [147K]3 years ago

4 0

Answer:

h = 3 ft

Step-by-step explanation:

The lateral surface area of a cylinder is given by

LSA=2πrh where r is the radius and h is the height

The diameter is 312 inches

Changing to ft

312/12 =26 ft

Dividing by 2 to get the radius

26/2 = 13 ft

LSA=2πrh

Using 3.14 for pi

245 ft^2 = 2 * 3.14* 13 ft * h

245 = 81.64 h

Divide each side by 81.64

245/81.64 = 81.64 h/81.64

3.000979912 = h

To the nearest foot

3 = h

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ES URGENTE me ayudan?

son4ous [18]

Answer:

$(\frac{3^{-1}+2^{-1}}{5^{-1}})^{-1}+3=\frac{81}{25}$

Step-by-step explanation:

Given expression is,

$(\frac{3^{-1}+2^{-1}}{5^{-1}})^{-1}+3$

By solving the given expression,

$(\frac{3^{-1}+2^{-1}}{5^{-1}})^{-1}+3=(\frac{\frac{1}{3}+\frac{1}{2}}{\frac{1}{5}})^{-1}+3$

$=(\frac{\frac{2+3}{6}}{\frac{1}{5}})^{-1}+3$

$=(\frac{\frac{5}{6}}{\frac{1}{5}})^{-1}+3$

$=(\frac{5}{6}\times \frac{5}{1})^{-1}+3$

$=(\frac{25}{6})^{-1}+3$

$=\frac{6}{25}+3$

$=\frac{6+(25\times 3)}{25}$

$=\frac{81}{25}$

6 0

2 years ago

use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines abo

sukhopar [10]

Answer:

16π square units.

Step-by-step explanation:

Please refer to the graph below.

So, if we draw a representative rectangle, the width of the rectangle will be (x), and the height of the rectangle at each (x) will be given by f(x) - g(x).

By the shell method:

$\displaystyle V=2\pi\int_a^bp(x)h(x)\,dx$

We are integrating from x = 0 to x = 2. p(x) is x and h(x) is f(x) - g(x):

$\displaystyle V=2\pi\int_0^2(x)((8-x^2)-(x^2))\,dx$

Evaluate. Simplify:

$\displaystyle V=2\pi \int_0^2(8x-2x^3)\,dx$

Hence:

$\displaystyle V=2\pi\Big(4x^2-\frac{1}{2}x^4\Big|_{0}^{2}\Big)$

Evaluate:

$\displaystyle \begin{aligned} V &= 2 \pi \Big[(4(2)^2-\frac{1}{2}(2)^4)-(4(0)^2-\frac{1}{2}(0)^4)\Big]\\ &=2\pi(8) \\&=16\pi\text{ square units} \end{aligned}$