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

Multiplication properties, write a definition for associative property of m...

write a definition for associative property of multiplication in your own words and explain how you use it to compute 4*25*27 mentally

Parenteral calculations, 850ml is to be administered to a person over 8 hou...

850ml is to be administered to a person over 8 hours using a drop factor of 20 drops/ml what is the flow rate in gtts/min ?

Estimate percent of the original price will the customer pay, Bikes are on ...

Bikes are on sale for 30% off the original price. What percent of the original price will the customer pay if he gets the bike at the sale price? The original price of the bike

???, a deposit of 10,000 was made to an account the year you were born afte...

a deposit of 10,000 was made to an account the year you were born after 12 years the account is worth 16,600 what is the simple interest rate did the account earn?

Impact did this have on spanish approach their subjugation, Compare and con...

Compare and contrast the Conquest of Mexico and the Conquest of Peru in the 16 th century. How did the structures of the indigenous empires in these two regions differ? What impact

Fraction word problems, Alan had 6 books. He read 1/3 of books last week. ...

Alan had 6 books. He read 1/3 of books last week. How many books did Alan read last week?

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