Question

if the height of a cylinder is four times the radius of a base then find the volume in thermal height​

Answer 1

Step-by-step explanation:

Let, the radius = r

height =4r

Volume =

$\pi {r}^{2} h = \frac{22}{7} \times {r}^{2} \times 4 {r}^{2} = \frac{88 {r}^{4} }{7}$

Answer 2

Answer:

Step-by-step explanation:

Let height of the cylinder be h and circumference of cylinder be C.

h=4×C  [Given](1)

h=4×2×π×r

∴ r=  

8×π

h

​

 

∴ r=  

8×π

4×C

​

  [From (1)]

∴ r=  

2×π

C

​

  (2)

Volume of cylinder =πr  

2

h

                               =  

2

2×π×r×r×h

​

  [Multiplying and dividing by 2]

                               =  

2×2×π

C×C×4×C

​

  [From (1) and (2)]

∴ Volume of cylinder =  

π

C  

3

 

​