Question

The radius of the base of a right circular cylinder is 1\7 th of its height. If the area
of its curved surface is 176 sq. cm, find its volume. full explanation
​

Answer 1

Step-by-step explanation:

The radius of the base is 1/7 of the height, and therefore r = (1/7)h. So, 2 * 3.14 * (1/7h) * h = 176. 0.897h² = 176. h = 14.006 cm.

Answer 2

Answer:

Step-by-step explanation:

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.