# The Sum of the Radius of the Base and the Height of a Solid Cylinder is 37 Metres. If the Total Surface Area of the Cylinder Be 1628 Sq Metres, Then Find Its Volume. - Mathematics

Sum

The sum of the radius of the base and the height of a solid cylinder is 37 metres. If the total surface area of the cylinder be 1628 sq metres, then find its volume.

#### Solution

Let r and h be the base radius and the height of the solid cylinder, respectively.

We have,

(r + h) = 37m

As, the total surface area of the cylinder = 1628 m2

rArr 2pir(r + h) = 1628

rArr 2 xx 22/7xxrxx37 = 1628

rArr r = (1628xx7)/(2xx22xx37)

rArr r = 7 "m"

So , h = (37 - 7) = 30 m

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#### APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 19 Volume and Surface Area of Solids
Exercise 19A | Q 7 | Page 875