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PtichkaEL [24]
3 years ago
11

Find the volume of the cylinder in terms of pi h = 6 in. and r = 3 in. A 54π in.3 B108π in.3 C324π in.3 D 27π in.3

Mathematics
1 answer:
Orlov [11]3 years ago
3 0

Answer:

Option A. 54\pi\ in^{3}

Step-by-step explanation:

we know that

The volume of the cylinder is equal

V=\pi r^{2}h

where

r is the radius of the base of cylinder

h is the height of the cylinder

we have

r=3\ in

h=6\ in

substitute

V=\pi (3)^{2}(6)

V=54\pi\ in^{3}

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EastWind [94]

Answer:

Step-by-step explanation:

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8 0
3 years ago
Here is a tunnel for a toy train.
jonny [76]

The <em>total</em> area of all six faces of the tunnel is 614.197\pi square centimeters.

<h2>Procedure - Surface area of a tunnel for a toy train</h2>

The surface area of the solid (A) used to represent the tunnel for a toy train is the sum of its six faces (two <em>semicircular</em> sections, inner <em>semicircular</em> arc section, outer <em>semicircular</em> arc section, two rectangles).

<h3>Determination of the surface area of the tunnel based on information of the diagram</h3>

We calculate the surface area as following:

A = 2\cdot \frac{\pi}{2} \cdot [(10\,cm)^{2}-(8\,cm)^{2}] + \pi\cdot (8\,cm)\cdot (30\,cm) + \pi\cdot (10\,cm)\cdot (30\,cm) + 2\cdot (2\,cm)\cdot (30\,cm)

A = 614.197\pi\,cm^{2}

The <em>total</em> area of all six faces of the tunnel is 614.197\pi square centimeters. \blacksquare

To learn more on surface areas, we kindly invite to check this verified question: brainly.com/question/2835293

5 0
2 years ago
Find and sketch the domain of the function. f(x,y)=√(4-x^2-y^2) +√(1-x^2)<br>​
elena55 [62]

Answer:

Hello

Step-by-step explanation:

The domain is limited with 2 lines parallel: -1 ≤ x ≤ 1

and the disk ? (inside of a circle) of center (0,0) and radius 2

dom\ f(x,y)=\{(x,y) \in \mathbb{R} ^2 | \ -1\leq x \leq -1\ and \ ( -\sqrt{4-x^2}  \leq \ y  \leq \sqrt{4-x^2}\  ) \ \}\\

3 0
2 years ago
Find the volume of the cone.
Ne4ueva [31]

Answer:

3142.86 cubic cm

Step-by-step explanation:

volume of cone is given by formula

volume of cone = 1/3(area of base*height)

Given radius of base = 10cm

we know area of circle is given by \pi  r^2 where r is radius of circle

thus area of base of cone is calculated below

\pi 10^2\\=> 22/7 *100\\=> 314.2857

area of base of cone is 314.2857 square cm

height = 30 cm

Thus volume of cone  = 1/3* (area of base*height)

                                   = 1/3(314.2857*30)

                                   = 1/3 *9428.571 = 3142.857.

Thus, volume of cone is 3142.857 cubic cm.

volume of cone  to the nearest hundredth is 3142.86 cubic cm

6 0
3 years ago
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Semenov [28]

Answer:

Step-by-step explanation:

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3 years ago
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