1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# A building is in the form of a cylinder surmounted by a hemispherical vaulted dome and contains 411921 m3 of air. If the internal diameter of dome is equal to its total height above the floor, find the height of the building.

A
4 m
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
8 m
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
6 m
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
10 m
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is A 4 mDiameter of hemisphere (D)= Total height of building (H)Radius of hemisphere (R)=H2= Height of the hemisphereHeight of cylinder =H−H2=H2Volume of building = Vol. of cylinder + Vol. of hemisphere88021=πr2H+23πr388021=π(H2)3+23π(H2)3H=4 m

Suggest Corrections
3
Join BYJU'S Learning Program
Related Videos
Surface Area of Solids
MATHEMATICS
Watch in App
Join BYJU'S Learning Program