Question

The sum of the radius and the height of a solid cylinder is 37 cm. If the total surface area of the solid is
1628 cm, find the circumference of the base.
[ ]
a) 30 cm
b) 34 cm
c) 44 cm
d) 40 cm​

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= 722 ×7=44cm

Volume of the cylinder = πr 2 h=722×7×7×30=4620cm

3