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artcher [175]
3 years ago
15

the globe arena in stockholm, sweden is the worlds largest hemispherical bulilding. the diameter of the arena is 110 meters. the

globe arena is not a complete sphere, but if it were, what would iys volume be? round the volume to the nearest hundredth
Mathematics
1 answer:
AlladinOne [14]3 years ago
8 0
The volume of a complete sphere is

                               V = (4/3 π) · (radius)³ .

The arena is not a complete sphere.
It's just half of a sphere.
So its volume is

                                 V = (2/3 π) · (radius)³

                                     = (2/3 π) · (55 m)³

                                     = (2/3 π) · (166,375 m³) .

                                     =      348,454.9852 m³

                                     =      348,454.99  m³ .  when rounded
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What is the volume of a cone with diameter 21 m and height 4 m?
natima [27]

For this case we have by definition, that the volume of a cone is given by:

V = \frac {1} {3} * \pi * r ^ 2 * h

Where:

A: It is the cone radius

h: It's the height

They tell us that the diameter is 21 m, then the radius is half the diameter, that is: 10.5m. The height is 4m. Substituting the data:

V = \frac {1} {3} * \pi * (10.5) ^ 2 * 4\\V = \frac {1} {3} * \pi * 110.25 * 4\\V = 147 \pi.

Finally, the volume of the cube is147 \pi \ m ^ 3

ANswer:

Option B

3 0
3 years ago
The prism has a volume of 120 cm3. What would the volume of the prism be if each dimension were halved? cm3 Triangular prism wit
Citrus2011 [14]
The volume of a triangular prism is V = 1/2 x a x c x h where a is height of the triangle, c is the base of the triangle and h is the height of the prism.
120 = 1/2 x a x c x h; we write a from the previous equation in terms of c and h thus,
a = 240 / ( c x h)
If the dimensions where halved then a = a/2 ; c = c/2 ; h=h/2
We use the volume formula again and substitute the given values to find the new volume,
V = 1/2 x a/2 x c/2 x h/2
Substitute the previously determined a term,
V = 1/2 x (240/2ch) x c/2 x h/2
We cancel and evaluate the constants therefore the new volume is,
V= 15 cm^3
3 0
3 years ago
Diego wants to have $1,000,000 in 5 years. He plans to invest $250,000 to start and make yearly payments of $125,000 to the acco
julia-pushkina [17]

Answer:

Yes

Step-by-step explanation:

With the $875,000 from his input alone he is really close to $1,000,000 and doing simple intrest on the $250,000 is $105,000 a year is he earns 3.5% intrest a month.

So in 5 years he'll have about $1,662,500 using simple intrest but with compound it'd be more like 2mil

Hope this helps!

5 0
2 years ago
X = zv-zk^5 solve for z
Aloiza [94]
Undistribute z
x=z(v-k^5)
divide both sides by (v-k^5)
z= \frac{x}{v-k^5}
4 0
2 years ago
Read 2 more answers
Look at the picture
shusha [124]

Answer:

1) √10 units

A=(-1, 0) let us assume (x1, y1)

B=(2, 1) let us assume (x2,y2)

distance= √(x2-x1)^2 + (y2-y1)^2

=√(2+1)^2 + ( 1-0)^2

=√3^2 + 1^2

= √10 units

3 0
3 years ago
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