Question

The sum of the radius and the height of a
cylinder is 37 cm and the total surface area of the cylender is 1628cm² find the height and the volume of the cylinder​

Answer 1

Answer:

Given r+h=37 cm

Total surface area of the solid cylinder = 2πr(r+h)=1628cm

2

∴r=

2×22×37

1628×7

=7cm

∴ Height = (37-7) cn = 30 cm

and Circumference = 2πr=

7

22

×7=44cm

Volume of the cylinder = πr

2

h=

7

22

×7×7×30=4620cm

3