Answer:

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
, and the total height of the building up to the top of the dome is
.
TO FIND: what is the approximate total volume of the building.
SOLUTION:
let the height of the mountaintop be 
As the dome hemispherical.
circumference of a hemisphere 



total height of the building up to the top of the dome 


Volume of building 

as radius of mountain top is same as dome
putting values


Hence the total volume of the building is
I’m ok lots of school work
This question is incomplete, the complete question is;
For what value of a is the volume of the tetrahedron formed by the coordinate planes and the plane (x/a) + (y/10) + (z/6) = 1 equal to 10?
Answer: the value of a is 1
Step-by-step explanation:
Given that;
Volume of tetrahedron bounded by plane (x/a) + (y/10) + (z/6) = 1
and coordinate plane is; V = 1/6|abc|
(x/a) + (y/10) + (z/6) = 1
volume = 10
so
10 = 1/6 | a × 10 × 6 |
60 = a × 10 × 6
60 = 60a
a = 60 / 60
a = 1
Therefore the value of a is 1
Answer: C
Step by step: .........