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antiseptic1488 [7]
3 years ago
12

What is the volume of this cylinder?

Mathematics
2 answers:
arlik [135]3 years ago
7 0

Answer:

12769.19m^{3}

Step-by-step explanation:

The formula for the area of a circle is:

\pi r^{2}

To work this out you would first have to find the area of the circle. To do this you would first divide 37.6 by 2, which gives you 18.8. Then to find the area you would multiply pi by 18.8 squared, which gives you 1110.36m^{2}. Then To find the volume you would multiply 1110.36 by 11.5, which gives you 12769.19m^{3}.

To find the volume of a prism you would find the area of the main face and multiply it by the height.

1) Divide 37.6 by 2.

37.6/2=18.8

2) Multiply \pi by 18.8 squared.

\pi *18.8^{2}=1110.36m^{2}

3) Multiply 1110.34 by 11.5.

1110.36*11.5=12769.19m^{3}

Remember when finding the area, thee answer is always going to be squared.

Remember when finding the volume the answer is always going to be cubed.

dalvyx [7]3 years ago
5 0

Answer:

12762.72 cubic meters

Step-by-step explanation:

The volume of a cylinder is denoted by the formula: V=\pi r^{2} h, where r is the radius and h is the height.

Here, we see that the height h = 11.5 m. We also see that the diameter is 37.6 meters. Since diameter = 2 * radius, we can divide this number by 2 to get the radius: r = 37.6/2 = 18.8 meters.

Now substitute these values into the equation:

V=\pi *(18.8^2)*11.5=3.14*(18.8^2)*11.5=12762.72 cubic meters

Hope this helps!

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Three water storage containers have the same volume in the shape of a cylinder, a cone, and a sphere. The base radius of the cyl
fredd [130]

Answer:

- The ratio of the height of the cone to the height of the cylinder is 3:1

- The ratio of the height of the cone to radius of the sphere is 4:1

Step-by-step explanation:

Note that the radii of all the structures are the same.

Let the height of the cone be H and the height of the cylinder be h

The volume of each of the shapes are given below as

Volume of cylinder = πr²h

Volume of a cone = (1/3)πr²H

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1) The ratio of the height of the cone to the height of the cylinder

To obtain this, we equate the volume of those two structures

Volume of the cone = Volume of the cylinder

(1/3)πr²H = πr²h

πr² cancels out on both sides and we're left with

(H/3) = h

H = 3h

(H/h) = (3/1)

So, The ratio of the height of the cone to the height of the cylinder is 3:1

2) The ratio of the height of the cone to radius of the sphere

Similarly equating the volumes of the cone and the sphere

(1/3)πr²H = (4/3)πr³

(1/3)πr² cancels out on both sides and we're left with

H = 4r

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8 0
3 years ago
The first five terms of a sequence are
Elena L [17]

Answer:

(a) 7 + 3( n - 1 )

(b) 1006

Step-by-step explanation:

ARITHMETIC SEQUENCE.

The number of term of an Arithmetic progression has the formular :

nth term = a + ( n - 1 ) d

a = 7

d = 10 - 7 = 3

nth term = 7 + ( n - 1 ) 3

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= 7 + 3( n - 1 )

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the nth term of the sequence

= 7 + 3( n - 1 )

(b) For the 1000th term

= 7 + 3 ( 1000-1 )

= 7 + ( 999 )

7 + 999 = 1006

Therefore,

the 1000th term = 1006

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