The height of a cylindrical can is 2.25 inches greater than the measure of the can's diameter. The volume of the cylinder is 52.18 in^3. What are the can's dimensions?

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Answer 1 · 2018-05-25T10:18:11

Cylindrical can's dimensions : Radius is #1.55# inch and
height is #6.95# inch.

The height of cylindrical can is #h=2.25*d ; d# is diameter

of the can, #:. h = 2.25*2*r or h= 4.5*r ; [d=2 r]#

Volume of the cylindrical can is #V=pi*r^2*h = 52.18# cubic inch.

# :. pi*r^2*4.5 *r = 52.18 or r^3 = 52.18/(4.5*pi)#

# :. r^3 ~~ 3.69 or r = root(3) 3.69 ~~1.55 (2 dp)# in.

Can 's height is #h= 4.5*1.55 ~~6.95 (2 dp)# in.

Cylindrical can's dimensions : Radius is #1.55# inch and

height is #6.95# inch. [Ans]