Surface area and volume question.?

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Surface area and volume question.?

A Building is in the form of cylinder surmounted by a hemispherical vaulted dome and contain 880/21 m^3 of air .If the internal diameter of the building is equal to its height above the floor,find the height of the building. (ANS:4cm)

2007-02-10 23:42:12 · 2 answers · asked by p 1 in Science & Mathematics ➔ Mathematics

2 answers

Call r = d/2 the radius of the base of the cilinder and theradius of the hemisphere

The hight of the cylinder is d/2 and its volume pi*d^2/4*d/2=pi*d^3/8

The volume of the hemisphere =2/3pi d^3/8 = pi *d^3/12

the total volume is d^3*pi*5/8 so d^3 = 880/21 *8/(5pi) =21.34m^3 so d=2.77m

2007-02-11 00:05:22 · answer #1 · answered by santmann2002 7 · 0⤊ 0⤋

is that your final answer?
:)

2007-02-10 23:48:20 · answer #2 · answered by mikedotcom 5 · 0⤊ 0⤋