Request a call back

Join NOW to get access to exclusive study material for best results

# CBSE Class 10 Answered

A building is in the form of a cylinder surmounted by a hemispherical vaulted dome and contains 880/
Asked by poojathally | 10 Mar, 2010, 11:41: AM
Expert Answer

Let R be the radius, and h be the height of the cylindrical portion.

Height of the building, R+h = 2R = D = internal diameter.

This gives, h = R.

Volume = Volume of cylindrical portion + Volume of hemispherical portion

= πR2h + (4πR3/3)/2 = 880/21

(22/7)(R2h + 2R3/3) = 880/21

R2(h+2R/3) = 440/3

R2(R+2R/3) = 440/3

R3(5/3) = 440/3

R3 = 88

R = 4.45 m

and Total Height of the building, = R+h = 2R = 8.9 m

Regards,

Team,

TopperLearning.

Answered by | 10 Mar, 2010, 02:56: PM
CBSE 10 - Maths
Asked by naveenkumarbana1 | 08 Jan, 2020, 07:38: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by | 02 Jan, 2013, 09:56: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by Manisha Vadagave | 18 Dec, 2012, 07:25: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by Manisha Vadagave | 18 Dec, 2012, 07:23: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by Manisha Vadagave | 18 Dec, 2012, 07:19: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by Manisha Vadagave | 18 Dec, 2012, 07:17: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by Manisha Vadagave | 18 Dec, 2012, 07:15: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by Sahil | 10 Dec, 2012, 08:39: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by Ashrene | 27 Oct, 2012, 12:07: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by aruni_maiyer | 18 May, 2010, 07:42: PM
ANSWERED BY EXPERT
Season Break Offer!
Get 60% Flat off instantly.
Avail Now
×