Question

radius of base of right circular cylinder is 1/7th of its height. if area of curved surface is 176 sq.cm , find its volume

Answer 1

Let r denote the r of the base of the cylinder. 
Let h denote the height of the cylinder. 

The radius of the base is 1/7 of the height, and therefore r = (1/7)h. 

The area of its curved surface is 176. We also know that the formula to find the area of the curved surface is 2*pi*r*h 
So, 2 * 3.14 * (1/7h) * h = 176. 
0.897h² = 176. 
h² = 196.178 
h = 14.006 cm. 

r = (1/7)h 
r = (1/7)*14.006cm 
r = 2.001 cm. 

The volume of a cylinder is base area * height = pi*r²*h 
= 3.14 * 2.001² * 14.006 
= 176.075 cube cm.