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3 years ago

What is the approximate volume of a cone with a height of 6 mm and radius of 18 mm?

Mathematics

2 answers:

notka56 [123]3 years ago

6 0

Answer:

678.24mm³

Step-by-step explanation:

The volume of the cone is computed using the formula:

$V = \pi r^2\dfrac{h}{3}$

Where:

r = radius of the circular base

h = height of the cone

π = 3.14

We are given the following:

r = 6mm

h=18mm

π = 3.14

So now that we have that, we just fill in the formula:

$V = \pi r^2\dfrac{h}{3}\\\\V = (3.14)(6mm)^{2}\dfrac{18mm}{3}\\\\V= (3.14)(36mm^2)(6mm)\\\\V = (113.04mm^{2})(6mm)\\\\V=678.24mm^{3}$

g100num [7]3 years ago

3 0

Answer:

2034.72

Step-by-step explanation: I just did the test and got it this question wrong and it said 2034.72 was the correct answer

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One side of a triangle is 3 times longer than the shortest side and the third side is 4 centimeters longer than the shortest sid

givi [52]

Answer:

First side is: 12cm

Second side is: 36cm

Third side is: 16cm

Step-by-step explanation:

Let x represent the shorter side

Then 3x represents the second side, and

x + 4 represents the third side.

Perimeter of three sides:

P = x + 3x + (x + 4)

Perimeter is 64, so

64 = x + 3x + (x + 4)

64 = 5x + 4

60 = 5x

12 = x

First side is x: 12cm

Second side is 3x: 3(12) = 36cm

Third side is x + 4: 12 + 4 = 16cm

4 0

2 years ago

What is the relationship between area in the scale drawing and area on the on the actual tennis court if the scale is 1in.: 5ft.

sveticcg [70]

Given:

Length of the scale = 15.6 in.

Width of the scale = 7.2 in.

Scale of drawing = 1 in. : 5ft.

To find:

The ratio of area of the actual court to the area of the drawing (as a unit rate).

And to check whether it is the same as the ratio of length of the actual court to the length of the drawing.

Step-by-step explanation:

We have,

1 in. = 5ft.

Now, using this scale we get

15.6 in. = (15.6 × 5) ft =78 ft.

7.2 in. = (7.2 × 5) ft = 36 ft.

So, the actual length and width of tennis court are 78 ft and 36 ft respectively.

Area of actual tennis court is

$Area=length\times width$

$Area=78\times 36$

$Area=2808\text{ ft}^2$

The area of drawing is

$Area=15.6\times 7.2$

$Area=112.32\text{ in.}^2$

Now, ratio of area of the actual court to the area of the drawing (as a unit rate) is

$\dfrac{2808}{112.32}=\dfrac{25}{1}=25:1$

Ratio of area is 25:1 and ratio of length is 5:1 both area not same.

Therefore, the ratio of area of the actual court to the area of the drawing (as a unit rate) is 25:1.

7 0

3 years ago

Find the probability for one roll of a number cube. P(number greater than or equal to 7)

Alik [6]

Answer:

Step-by-step explanation:

there is no number of 7 or greater.

P(≥7)=0/6=0

6 0

2 years ago

What is the Volume of the square pyramid? (Round to the nearest tenth as needed)

Orlov [11]

<h3>given:</h3>

base= 25 mm

height= 28 mm

the volume of the square pyramid.

<h3>solution:</h3>

$volume = {a}^{2} \frac{h}{3}$

$v = {25}^{2} \frac{28}{3}$

$v = 5833.33333 {mm}^{3}$

$v = 5833.3 {mm}^{3}$

8 0

2 years ago

Which statement is not true about the pattern shown 2/3 , 4/6, 8/12, 16/24 , ...

natta225 [31]

They are multiplying by two .

8 0

2 years ago