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