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max2010maxim [7]
3 years ago
8

I WILL GIVE BRAINLIEST 5 STARS AND A HEART PLEASE HELPPPP

Mathematics
1 answer:
Whitepunk [10]3 years ago
5 0

Answer:

140  square feet

Step-by-step explanation:

The total area can be calculated by splitting this irregular shape into two quadrilaterals.

In this case, I am splitting it horizontally, but you can do it vertically and get the same answer!

I'm left with a 10 by 8 ft rectangle and an 15 by 4 ft rectangle. So, the total area is equivalent to:

10*8 + 4*15\\80 + 60\\=140

Have a nice day.<em><u> Spread The Love!</u></em>

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A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of t
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Answer:

 185553.7\text{ feet}^3

Step-by-step explanation:

GIVEN: A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of the dome is 84\text{ feet}, and the total height of the building up to the top of the dome is 91\text{ feet}.

TO FIND: what is the approximate total volume of the building.

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let the height of the mountaintop be h\text{ feet}

As the dome hemispherical.

circumference of a hemisphere =\frac{1}{2}\times2\pi\times radius

                                                    =\pi\times radius

                                                    \frac{22}{7}\times radius=84

                                                    radius=26.75\text{ feet}

total height of the building up to the top of the dome =\text{radius of hemisphere}+\text{height of mountaintop}

=26.75+h=91

h=64.25\text{ feet}

Volume of building =\text{volume of cylindrical mountaintop}+\text{volume of dome}

                                =\pi(radius)^2h+\frac{2}{3}\pi(radius)^3

as radius of mountain top is same as dome

putting values

                                =3.14(26.75)^264.75+\frac{2}{3}3.14(26.75)^3      

                               =145484.6+40069.1

                               185553.7\text{ feet}^3

Hence the total volume of the building is 185553.7\text{ feet}^3                                      

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