The sum of the altitude and the base radius of a cylinder is $63 cm$ . The radius is $4/5$ as long as the altitude. Calculate the surface area volume of the cylinder?

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Answer 1 · 2016-04-20T02:50:42

Surface area of cylinder is $5544$ sq.cm. and Volume of cylinder is $86240$ cc.

Let the altitude be $h$ , as radius is $4/5$ of height, it is $(4h)/5$ . But sum of altitude and radius is $63$ , hence

$h+(4h)/5=63$ or $(5h)/5+(4h)/5=63$ or $(9h)/5=63$

Therefore $h=63xx5/9=7cancel(63)xx5/cancel9=35$

Hence altitude is $35$ cm and radius is $63-35=28$ cm.

Assume pi=22/7#, hence surface area of cylinder given by

$pir(r+h)=22/7xx28xx63$

= $22/cancel7xx4cancel(28)xx63=88xx63=5544$ sq.cm.

Volume of cylinder is $pir^2h=22/7xx28xx28xx35$

= $22/cancel7xx4cancel(28)xx28xx35=86240$ cc.

The sum of the altitude and the base radius of a cylinder is 63 cm63 cm. The radius is 4/54/5 as long as the altitude. Calculate the surface area volume of the cylinder?