Find the height of the building, Mathematics

Assignment Help:

A building is in the form of a cylinder surrounded by a hemispherical vaulted dome and contains   41(19/21-) cu m of air. If the internal diameter of the building is equal to its total height above the floor, find the height of the building.

( Ans : 4m)

Ans:    Volume of building = 41 (19/21) m3

=> π.r2.r + 2/3 π r3 = 41(19/21)

=> π × r3  × 5/3 = 880/21

 

=> r 3 =  880/21 x 7/22 x 3/5

=> r3 = 8

=> r = 2 m

∴ height of building = 4 cm


Related Discussions:- Find the height of the building

#title.simpal harmonic motion., #questionShow that the system oscillates in...

#questionShow that the system oscillates in simple harmonic motion demonstrated by; , for which the general solution where X = (x – x0)..

Example of mixing problems, A 1500 gallon tank primarily holds 600 gallons ...

A 1500 gallon tank primarily holds 600 gallons of water along with 5 lbs of salt dissolved into it. Water enters the tank at a rate of 9 gal/hr and the water entering the tank has

Decmals, just want to go over it

just want to go over it

How many pages must he read before he takes a break, Joey has 30 pages to r...

Joey has 30 pages to read for history class tonight. He decided in which he would take a break while he finished reading 70% of the pages assigned. How many pages must he read befo

Indices, advantages and disadvantages of paasche and laspeyres indices

advantages and disadvantages of paasche and laspeyres indices

Shares and dividends, at what price a 6.25%rs 100 share be quoted when the ...

at what price a 6.25%rs 100 share be quoted when the money is worth 5%

Laplace transforms, In this section we will be searching how to utilize Lap...

In this section we will be searching how to utilize Laplace transforms to solve differential equations. There are various types of transforms out there into the world. Laplace tran

Function notation, Function notation: Next we have to take a rapid look at...

Function notation: Next we have to take a rapid look at function notation. Function notation is nothing more than way of writing the y in a function which will let to simplify not

Undetermined coefficients, In this section we will see the first method whi...

In this section we will see the first method which can be used to find an exact solution to a nonhomogeneous differential equation. y′′ + p (t ) y′ + q (t ) y = g (t) One of

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd