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2 years ago

What is the volume of the cylinder below?

Mathematics

2 answers:

photoshop1234 [79]2 years ago

7 0

Answer: 192π units³

Step-by-step explanation: To find the volume of the cylinder, remember that the formula for the volume of a cylinder is πr²h.

We know that the radius of the cylinder is 8 and the height is 11, so plugging this information into the formula, we have (π)(8)²(3).

This simplifies to π(64)(3) or 192π.

So the volume of the cylinder is 192π units³

Finger [1]2 years ago

4 0

Answer:

V =192 pi units^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the radius is 8 and the height is 3

V = pi (8)^2 *3

V =192 pi units^3

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Conjecture #2- The product of two rational numbers is always?

Gala2k [10]

Answer:

Rational

Step-by-step explanation:

It is always going to be RATIONAL.

5 0

3 years ago

) Set up a double integral for calculating the flux of F=3xi+yj+zk through the part of the surface z=−5x−2y+2 above the triangle

Fynjy0 [20]

The surface (call it $S$ ) is a triangle with vertices at the points

$x=0,y=0\implies z=2\implies(0,0,2)$

$x=0,y=2\implies z=-2\implies(0,2,-2)$

$x=2,y=0\implies z=-8\implies(2,0,-8)$

Parameterize $S$ by

$\vec s(u,v)=(1-v)(2,0,-8)+v\bigg((1-u)(0,2,-2)+u(0,0,2)\bigg)=(2-2v,2v-2uv,-8+6v+4uv)$

with $0\le u\le1$ and $0\le v\le1$ . Take the normal vector to $S$ to be

$\vec s_v\times\vec s_u=(20v,8v,4v)$

Then the flux of $\vec F$ across $S$ is

$\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\int_0^1\int_0^1\vec F(x(u,v),y(u,v),z(u,v))\cdot(\vec s_v\times\vec s_u)\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^1\int_0^1(6-6v,2v-2uv,-8+6v+4uv)\cdot(20v,8v,4v)\,\mathrm du\,\mathrm dv$

$=\displaystyle8\int_0^1\int_0^1(11v-10v^2)\,\mathrm du\,\mathrm dv=\boxed{\frac{52}3}$

8 0

3 years ago

5/6 – 6/12<br><br>I am lost bc I'm not a math person so pls help me?

vovangra [49]

First, we must find the common denominator (12) ✵

10/12-6/12 ✵ ✵ ✵ ✵

Now, why 10? ✵ ✵ ✵

Because we CAN'T just take the denominator and change it; we must change both the denominator AND the numerator:

✵ • - ○

4/12 ✧ ✩ ✶ ✺ ✱

We can simplify, or reduce, this fraction: ✱ ✱

1/3 ✩ ✦ ✤

I hope it helps!

$*VirtuosoTeen*$

7 0

2 years ago

Read 2 more answers

A projectile is launched upward from a height of 704 feet with an initial velocity of 112 ft/s. The equation gives the height h

Feliz [49]

We are given the data ho equal to 704 feet and vo equal to 112 feet per second. We apply then kinematics equation: h = ho + vot - 1/2 gt2. Substituting to the given equation,
h = 704 + 112t - 1/2 * 32*t2when h is equal to zero,0 = 704 + 112t - 1/2 * 32*t2t is equal to 11 seconds

4 0

3 years ago

Nick had 3 1/4 bottles of water for his wrestling practice. When he finished he had 1 2/4 bottles of water left. He said he used

sweet-ann [11.9K]

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3 years ago