Question

The sum of the radius of base and height of a solid right circular cylinder is 37 cm if the total surface area of the solid cylinder is 1628 square cm then find the volume of the cylinder?​

Answer 1

Answer:

The sum of the radius of base and height of a solid right circular cylinder is 37 cm. If the total surface area of the solid cylinder is 1628 sq

Answer 2

Answer:

The volume of cylinder is 4620 cm³.

Step-by-step explanation:

Since we have given that

Sum of radius and height of cylinder = 37

i.e. r+h = 37

Total surface area = 1628 sq. cm.

So, it becomes,

2πr(r+h)=1628

=>2×22/7×r×37=1628

=>r=(1628×7)/(44×37)

=>r=7

So, r+h = 37

7+h = 37

h = 37-7

h = 30 cm

So, volume of cylinder would be

πr²h=22/7×7²×30

=22×7×30

=4620 cm³

Hence, the volume of cylinder is 4620 cm³.

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