Question

cylinder a has a radius of 1 m and a height of 4 m cylinder b has a radius of 1 m and a height of 8 what is the ratio of the volume of cylinder a to the volume of cylinder b

Answer 1

Volume of A= πR².H ==> V(A)=4π m³

Volume of V =πR².H ==>V(B)=8π m³

.Ratio of A to B =(4π) /(4π) = 1/2

Answer 2

The ratio of the volume of cylinder a to the volume of cylinder b is 1 : 2 .

Explanation:

We know that,

The volume of a cylinder is,

`V=\pi (r)^2 h`

Where, r is the radius of the cylinder,

h is the height of the cylinder,

Given,

For cylinder a,

r = 1 m and h = 4 m

Thus, the volume of the cylinder a is,

`V_1=\pi (1)^2(4)`

`=4\pi \text{ square m}`

Now, for cylinder b,

r = 1 m and h = 8 m

Thus, the volume of the cylinder b is,

`V_2=\pi (1)^2(8)`

`=8\pi \text{ square m}`

Hence, the ratio of the volume of cylinder a to the volume of cylinder b is,

`(V_1)/(V_2)=(4\pi )/(8\pi )=(1)/(2)`