Question

Height of a right circular cylinder is twice of its radius. If the height would be 6 times of its
madius, then the volume of the cylinder would be greater by 539 cubic dcm, let us write by
calculating the height of the cylinder.
​

Answer 1

Given,

Height of a right circular cylinder is twice of its radius.

If the height becomes 6 times than the radius then the  volume will increase by 539 dcm³.

To find,

The height of the cylinder.

Solution,

Let,the radius = x dcm

[ Assume x as a variable to do the further mathematical calculations.]

So,in the first case the height = 2x dcm

Volume in the first case = π×x²×2x = 2πx³ dcm³

And,in the second case the height = 6x dcm

Volume in the second case = π×x²×6x = 6πx³ dcm³

According to the given data in the question,

6πx³-2πx³ = 539

4πx³ = 539

x³ = 539 × 1/4 × 7/22

x³ = 3773/88

x³ = 42.875

x = 3.5

Radius = 3.5 dcm

Height = 3.5 ×2 = 7 dcm

Hence,the height of the cylinder is 7dcm.

Answer 2

Answer:

height = 7dcm

Step-by-step explanation:

it is easy to solve, only remember