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topjm [15]
3 years ago
8

What is the volume of the composite figure? Use 3.14 for π and round the answer to the nearest tenth of a cubic unit.

Mathematics
2 answers:
SSSSS [86.1K]3 years ago
8 0
To calculate for the total volume of the figure above, we add the separate volume of the cylinder and the cone. The volume of a cone is calculated from the product of the area of the circle times its height. The volume of the cone is calculated by 1/3 the product of the area of the base times the height. 

V = Vcylinder + Vcone
V = πr²h + πr²h/3
V = π(6)²11 + π(6)²9/3
V = 1583.4 in^3 -------> closest to third option
Yuliya22 [10]3 years ago
5 0
1582.6^3 (choice c) is the best option
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Write the standard form of the equation of the circle that passes through the point
AnnZ [28]

Answer:

The standard form of the equation of the circle is x^2+y^2=1.

Step-by-step explanation:

A circle is the set of points in a plane that lie a fixed distance, called the radius, from any point, called the center.

The equation of a circle in standard form is

                                             (x-h)^2+(y-k)^2=r^2

where <em>r</em> is the radius of the circle,  and <em>h</em>, <em>k</em> are the coordinates of its center.

When the center of the circle coincides with the origin h=k=0, so

                                            (x-0)^2+(y-0)^2=r^2\\x^2+y^2=r^2

We are also told that the circle contains the point  (0, 1), so we will use that information to find the radius <em>r</em>.

                                                   0^2+1^2=r^2\\r^2=0^2+1^2\\r^2=1\\r=\sqrt{1}

Therefore, the standard form of the equation of the circle is x^2+y^2=1.

5 0
3 years ago
The perimeter of a square is 52 meters. What is it area.
ValentinkaMS [17]

Answer:

169 meters

Step-by-step explanation:

52/4=13 (since it's a square you divide it by 4 because the sides are equal, so each side is 13 meters)

13^2=169 (to find the area you square the length of each side)

7 0
3 years ago
Cooommmon guys help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!plz
Tom [10]

The point-slope form:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (5, -3) and (-2, 9). Substitute:

m=\dfrac{9-(-3)}{-2-5}=\dfrac{12}{-7}=-\dfrac{12}{7}\\\\y-(-3)=-\dfrac{12}{7}(x-5)\\\\\boxed{y+3=-\dfrac{12}{7}(x-5)}

5 0
3 years ago
Read 2 more answers
A cone and a sphere both have a radius of 1. If you fill the cone with liquid, and pour it into the sphere, it fits exactly. Wha
PtichkaEL [24]

Answer and Step-by-step explanation:

First, solve for the volume of the sphere, then solve for the height of the cone using the volume of the sphere (which is said to be equal to the volume of the cone) and the radius given.

<u>Volume formula of Sphere</u>

V = \frac{4}{3} \pi r^2

<u>Substitute 1 in for r</u>

\frac{4}{3} \pi (1)^2 = \frac{4}{3} \pi  = 4.189 = Volume

<u>Finding the Height of a Cone</u>

Volume formula for Cone: V = \pi r^2\frac{h}{3}

<u />

<u>Solve for </u><u><em>h</em></u>

Multiply both sides by 3, then divide by pi and r^2.

h = \frac{3V}{\pi r^2}

<u>Plug in the volume and the radius.</u>

h = \frac{3(4.189)}{\pi (1)^2}

<u>Simplify</u>

h = \frac{12.567}{\pi }

h ≈ 4

<u>4 is approximately the height.</u>

<u></u>

<u></u>

<u><em>#TeamTrees #PAW (Plant And Water)</em></u>

6 0
3 years ago
Help me find x please
Sedaia [141]

Answer:

\displaystyle 13 = x

Step-by-step explanation:

All three angles in an equilateral triangle are equivalent, and they sum up to 180°, so each angle measures 60°:

60° = [8x - 44]°

+ 44° + 44°

____________

\displaystyle \frac{104°}{8} = \frac{[8x]°}{8} \\ \\ 13° = x

I am joyous to assist you anytime.

6 0
3 years ago
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