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3 years ago

What is the volume of a hemisphere with a radius of 2.1 m, rounded to the nearest tenth of a cubic meter?

Mathematics

1 answer:

Art [367]3 years ago

3 0

Answer:

The volume of hemisphere is <u>19.4 cubic meter</u>.

Step-by-step explanation:

Given:

A hemisphere is with a radius of 2.1 m.

Now, to find the hemisphere volume with radius 2.1 m.

$Radius\ (r) = 2.1 m.$

So, we put formula to get the volume of hemisphere:

$Volume=\frac{2}{3} \pi r^3\ \ \ \ \ (Taking\ the\ value\ of\ \pi =3.14)\\\\Volume=\frac{2}{3} \times 3.14\times 2.1^3\\\\Volume=\frac{2}{3} \times 3.14\times 9.26\\\\Volume=19.384\ cubic\ meter.$

<u><em>Hence, the rounded to the nearest tenth of a cubic meter is 19.4 cubic meter.</em></u>

Therefore, the volume of hemisphere is 19.4 cubic meter.

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Can someone please answer these for me I’m very confused. I need the answers by 20 minutes

Kipish [7]

Answer:

12) y = 2x + 8

13) ( -4, 3)

14) y + 3 = 1(x + 2) ; y = x - 1

Step-by-step explanation:

12) ( -2, 4) and (1, 10)

m=(y2-y1)/(x2-x1)

m= (10-4)/(1+2)

m=6/3

m = 2

y - y1 = m(x - x1)

y - 4 = 2(x + 2)

y - 4 = 2x + 4

y = 2x + 8

13)

y - y1 = m(x - x1)

y - 3 = 2(x +4)

( -4, 3)

14) ( -2, -3) and (4, 3)

m=(y2-y1)/(x2-x1)

m=(3+3)/(4+2)

m=6/6

m=1

y - y1 = m(x - x1)

y + 3 = 1(x + 2)

y + 3 = x + 2

y = x - 1

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3 years ago

Z over 2 equal 6 what does z equal to

Advocard [28]

Answer:

Step-by-step explanation:

$\dfrac{z}{2}=6\qquad\text{multiply both sides by 2}\\\\2\!\!\!\!\diagup\cdot\dfrac{z}{2\!\!\!\!\diagup}=2\cdot6\qquad\text{cancel 2}\\\\z=12$

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3 years ago

The composition Do,0.75(x,y). Do,2(x,y) is applied to LMN to create L”M”N”

Vera_Pavlovna [14]

Transformation involves changing the position and size of a shape.

The true statements are:

∠m≅∠m'
Δlmn≅Δl'm'n'
The coordinates of n" are .N''(3,-1.5)

The complete question is as follows:-

The composition do,0.75(x,y) ∘ do,2(x,y) is applied to △lmn to create △l''m''n''. which statements must be true regarding the two triangles? check all that apply. ∠m ≅ ∠m'' △lmn ~ △l''m''n'' △lmn ≅ △l''m''n'' the coordinates of vertex l'' are (-3, 1.5). the coordinates of vertex n'' are (3, -1.5). the coordinates of vertex m'' are (1.5, -1.5).

<h3>What is translation?</h3>

The process of changing the location of the image on the coordinate system will be known as the translation.

The coordinates of the triangle are:

L =(-1,2)

M = (-1,-1)

N = ( 2,-1)

The transformation rule is given as:

do 0.75 (x,y) 2 (x,y)

The transformation rule is a dilation by a factor of 0.75, and then a factor of 2.

Uniform dilation changes the size of a shape, but the angles remain unchanged. This means that:

∠l≅∠l''

∠m≅∠m''

∠n≅∠n''

Δlmn⇒Δl'm'n'

The above highlights mean that:

The angles of both triangles are congruent

The triangles are similar

Next, we apply the rule on the coordinates of the triangle

L'' = 0.75 x 2 x (-1,2)

L'' = ( -1.5,3)

M'' = 0.75 x 2 x (-1,-1)

M'' = ( -1.5 , -1.5)

N'' = 0.75 x 2 x (2,-1)

N'' = (3 , -1.5)

Hence, the true statements are: The coordinates of n" are.

∠m≅∠m'
Δlmn≅Δl'm'n'
The coordinates of n" are . N''(3,-1.5)

Read more about transformations at:

brainly.com/question/11709244

#SPJ1

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2 years ago

What is the answer to 14÷22 ?

photoshop1234 [79]

Answer:

0.63636363636363636

Step-by-step explanation:

14/22

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3 years ago

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An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $1790 and his st

stiv31 [10]

Answer:

20.7%

Step-by-step explanation:

Amount of stock increased in Company A = 20% of 1790

= 0.20 * 1790 = $ 358

Investor's stock in company A this year = 1790 + 358 = $ 2148

Amount of stock increased in Company B = 22% of 1000

= 0.22 * 1000= $ 220

Investor's stock in company B this year = 1000 + 220 = $ 1220

Total amount in investor's stock account = 2148 + 1220 = $ 3368

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Increase percentage = $\frac{578}{2790}*100$ = 20.71

= 20.7%

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3 years ago

Read 2 more answers