Question

A curved surface area of cylinder is 176cm and its base area is 38.5cm find the volume of the cylinder

Answer 1

Curved surface area of the cylinder is 176

therefore

2*22/7*r*h=176

And base area 38.5

therefore

=22/7*r*r=38.5

therefore r=3.5

now we have found the radius and we can find the height

therefore

2*22/7*3.5*h=176

22h=176

h=8

therefore

volume=38.5*8

308 cm^3

Answer 2

base area =38.5sqcm πr²=38.5 r²=38.5 *7/22 r²=(7/2)² r=7/2 cm--(1) csa of the cylinder = 2πrh--- (2) given csa =176cm----(3) (2) =(3) 2*22/7*7/2*h =176 22h=176 h=176/22 h=8cm volume = πr²h
volume=173.28